Inclusion Criteria:

          -  Subjects signs and dates the informed consent form before receiving any treatment or
             test sample collection related to the study.

          -  Male or female, ≥18 and ≤75 years of age when signing the informed consent.

          -  Locally advanced or metastatic non-small cell lung cancer (NSCLC) verified by
             histology or cytology, and no longer suitable for radical surgery or radiation
             therapy.

          -  ECOG scoring (PS) of physical conditions 0-1, and there is no deterioration 2 weeks
             before enrolled to the study. The expected survival is not less than 12 weeks.

          -  Phase I: Disease progressed after EGFR-TKI treatment as proved by radiological
             evidence. For dose level which does not provide satisfying efficacy in the escalation
             group, patients must receive chemo therapy before enrolled into that dose, unless not
             suitable for chemotherapy judged by investigator. Patients must have documented
             radiological progression before enrolled into the study. Phase IIa: Patients must be
             treatment- naïve for locally advanced or metastatic NSCLC. Prior adjuvant and
             neo-adjuvant therapy is permitted (chemotherapy, radiotherapy, investigational agents)
             provided all other entry criteria are satisfied

          -  At least 1 measurable lesion based on the RECIST1.1 criteria. If the subject has only
             1 measurable lesion, the baseline CT must be performed before biospy or at least 14
             days after biopsy. The lesion received radiotherapy does not count as measurable
             lesion or a biopsy lesion unless it shows obvious progression after radiotherapy.
             Brain metastases and irradiated lesions are not taken as target lesions.

          -  Prior to enrollment, a central laboratory testing report confirmed the tumor has EGFR
             positive gene mutation sensitive to EGFR-TKI treatment (including G719X, exon 19 loss,
             L858R, L861Q etc.).

          -  Phase I: Central lab tissue tests confirm T790M positive for the biopsy, plasma, or
             cytology samples collected after imaging examination with clear disease progression
             post last treatment. Subject should provide formalin fixed and paraffin embedded tumor
             tissue block or 5 pieces of 4-5µm thick undyed slices, or should agree to do tumor
             tissue biopsy.

          -  The clinical laboratory examination results shall meet the following criteria:

               1. Blood platelet ≥100×10^9/L

               2. Absolute neutrophil counting（ANC）≥1.5×10^9/L

               3. Hemoglobin（Hgb）≥90 g/L

               4. Total bilirubin (TBil) ≤1.5 times of upper normal limit（ULN） (≤3 times of ULN is
                  allowed if there is liver metastasis)

               5. Alanine aminotransferase (ALT) and aspertate aminotransferase (AST) ≤3 times of
                  ULN (≤5 times of ULN is allowed if there is liver metastasis)

               6. Creatinine ≤1.5times of ULN or creatinine clearance≥50 mL/min.

               7. Mean resting corrected QT interval (QTc) ≤470 msec obtained from 3
                  electrocardiograms (ECGs).

               8. If the subject is not taking anticoagulants, the International Standardization
                  Ratio (INR) ≤1.5 and APTT ≤1.5 times of ULN. For patients who are being treated
                  with heparin anticoagulant therapy, if these indicators have no abnormality, and
                  then they can be enrolled. For subjects who are receiving warfarin anticoagulant
                  therapy, within 28 days before enrolled into the study, relating to INR, use
                  stable dose warfarin.

          -  Able to swallow the study drug.

          -  Female subjects should take effective contraceptive measures, should not be breast
             feeding and must have a negative pregnancy test prior to start of dosing if of
             child-bearing potential or must have evidence of non-child-bearing potential.

          -  Male patient subjects are willing to use barrier contraception.

          -  Except hair loss and stable below level 2 peripheral nerve toxicity, any clinical
             toxicity related to previous treatment before enrollment must restore to pre-treatment
             or level 1.

        Exclusion Criteria:

          -  Anti-cancer treatment with first/second generation of EGFR-TKI (e.g., Icotinib,
             gefitinib, erlotinib afatinib, dacomitinib, etc) within 8 days (approximately 5 times
             of half-life) before first dosing in the study.

          -  Received treatment targeted for T790M positive mutation, or participated in clinical
             trials for such types of drugs, e.g., AZD9291, CO-1686 and other third-generation TKI
             therapy.

          -  Any cytotoxic chemotherapy, investigational agents or anticancer drugs for the
             treatment of advanced NSCLC from a previous treatment regimen or clinical study within
             14 days prior to the first dose of study treatment.

          -  Any of the following cardiac criteria: resting corrected QT interval (QTcF) > 470
             msec; Any clinically important abnormalities in rhythm, conduction or morphology of
             resting ECG eg, complete left bundle branch block, III-degree heart block, II-degree
             heart block, PR interval >250 msec; Factors that may increase the risk of QTc
             prolongation or risk of arrhythmic events such as symptomatic heart failure - New York
             Heart Association (NYHA) Class II-IV, hypokalaemia, congenital long QT syndrome,
             family history of long QT syndrome or unexplained sudden death under 40 years of age
             in first degree relatives or any concomitant medication known to prolong the QT
             intervals.

          -  Past interstitial lung disease, drug induced interstitial lung disease, radiation
             pneumonia that needs steroid therapy, or any evidence of clinically. active
             interstitial lung disease.

          -  The known active infection, such as hepatitis B, hepatitis C and human
             immunodeficiency virus (HIV) infection. Patients with well-controlled hepatitis B can
             be enrolled to the study, and can receive antiviral treatment.

          -  Patients with other malignant tumor and still under treatment, or have recurrent or
             associated other malignant tumor within the last 5 years are not eligible. Cervical
             cancer in situ eradication therapy, non-melanoma skin cancer, superficial bladder
             tumor (noninvasive tumor), or carcinoma in situ with no recurrence, nor relevant
             treatment in 3 years after eradication treatment, may be eligible.

          -  Judged by investigators, clear digestive tract disorder which may interfere with
             BPI-7711 absorption (for example, obvious uncontrolled inflammatory gastrointestinal
             diseases, abdominal colostomy within 6 months or past history of gastrointestinal
             perforation, intestinal wide excision and the need for tube feeding or parenteral
             fluids/nutrition supplementation).

          -  Spinal cord compression, metastases of the meninges, and brain metastases with obvious
             symptoms. cannot be enrolled. The following cases of brain metastases without symptoms
             can be enrolled: Brain metastases without obvious symptoms diagnosed at screening
             visit, steroids and/or local treatment not required judged by investigator; Brain
             metastases without obvious symptoms after local treatment (such as radiotherapy), and
             steroids and/or antiepileptic therapy has stopped for at least 7 days before the first
             dosing of study drug.

          -  Local radiotherapy to alleviate the disease within 1 week before first dosing of the
             study drug; more than 30% bone marrow radiotherapy or with a wide field of
             radiotherapy within 4 weeks before first dosing of the study drug.

          -  ≤4 weeks before major surgery or ≤2 weeks before minor surgery before the first day of
             administration of the study drug.

          -  Any unstable factor or factors that may endanger the safety of the patients or affect
             the subjects' compliance to procedures and requirements of this study.

          -  Leukocyte-depleted whole blood transfusion within the 120 days before collecting
             genetic testing samples.

          -  Pregnant or breast-feeding women.

          -  All subjects must have enough mental behavior ability, understand the nature and
             significance of the study, as well as the risks associated with this study.

          -  Drug abuse, alcoholic addiction, medical and mental illness and social barriers which
             may interfere the subjects' participation in the study or affect study result
             evaluation judged by investigator. Any factor that the investigator believes may make
             the candidates not suitable to receive study drug. The candidates are unwilling or
             unable to comply with the requirements of the study protocol.