Inclusion Criteria Signed informed consent Male or female aged at least 18 years and older.
        Patients from Japan aged at least 20 years.

        Histological or cytological confirmation of EGFRm+ NSCLC. Confirmation that the tumour
        harbours an EGFR mutation known to be associated with EGFR TKI sensitivity (including exon
        19 deletion and L858R). Radiological documentation of disease progression while on a
        previous continuous treatment with an EGFR TKI eg, gefitinib or erlotinib. These patients
        must have radiological progression (as per site assessment) on the last treatment
        administered prior to enrolling in the study.

        At least one lesion, not previously irradiated, not biopsied during the screening period,
        that can be accurately measured at baseline as ≥10 mm in the longest diameter (except lymph
        nodes which must have short axis ≥15 mm) with computerised tomography (CT) or magnetic
        resonance imaging (MRI) which is suitable for accurate repeated measurements. Adequate
        haematological, liver and renal function as well as coagulation parameters.

        ECOG/WHO performance status of 0 or 1 or KPS >80. Ability to swallow and retain oral
        medications. Prior to study entry, local confirmation of tumour cMET status is acceptable,
        a central result will be confirmed retrospectively. Local confirmation of tumour T790M
        status is acceptable if performed with an approved test and agreed by AstraZeneca.

        Agree to use adequate contraceptive measures.

        Exclusion Criteria Treatment with an EGFR TKI within approximately 5x half-life (eg, within
        8 days for erlotinib, gefitinib or afatanib, or within 10 days for dacomitinib) of the
        first dose of study treatment. Any cytotoxic chemotherapy, investigational agents or other
        anticancer drugs for the treatment of advanced NSCLC from a previous treatment regimen or
        clinical study within 14 days of the first dose of study treatment Patients currently
        receiving medications or herbal supplements known to be potent inducers of CYP3A4 (at least
        3 weeks prior). For AZD6094 patients currently receiving prior to receiving the first dose,
        medications known to be strong inhibitors of CYP1A2.

        Prior AZD9291 dosing in the present study. Prior treatment with a 3rd generation
        (T790M-directed) therapy (eg, AZD9291, rociletinib or HM61713) outside of this study is
        permitted if allocated to the 3rd generation EGFR TKI cohort. Prior or current treatment
        with AZD6094 or another cMET inhibitor (eg, foretinib, crizotinib, cabozantinib,
        onartuzumab) if allocated to AZD9291 plus AZD6094 combination. Radiotherapy with a limited
        field of radiation for palliation within 1 week of the first dose of study treatment, with
        the exception of patients receiving radiation to more than 30% of the bone marrow or with a
        wide field of radiation which must be completed within ≥4 weeks of the first dose of study
        treatment Major surgical procedure, or significant traumatic injury within 4 weeks of the
        first dose of study treatment, or have an anticipated need for major surgery during the
        study.

        Currently receiving treatment with warfarin sodium. LMWH is allowed. Active
        gastrointestinal disease or other condition that will interfere significantly with the
        absorption, distribution, metabolism, or excretion of oral therapy Any of the following
        cardiac diseases currently or within the last 6 months: Unstable angina pectoris,
        Congestive heart failure (NYHA ≥ Grade 2), Acute myocardial infarction, Stroke or transient
        ischemic attack.

        Known hypersensitivity to the active or inactive excipients of AZD6094. Uncontrolled
        hypertension (BP ≥150/95 mmHg despite medical therapy) Mean resting correct QT interval
        (QTcF) >470 msec for women and >450 msec for men or factors that may increase the risk of
        QTcF prolongation such as chronic hypokalaemia not correctable with supplements, congenital
        or familial long QT syndrome, or family history of unexplained sudden death under 40 years
        of age in first degree relatives or any concomitant medication known to prolong the QT
        interval and cause Torsade de Pointes.

        Any clinically important abnormalities in rhythm, conduction or morphology of resting
        electrocardiograms (ECGs), e.g. complete left bundle branch block, third degree heart
        block, second degree heart block, PR interval >250 msec. Serious underlying medical
        condition at the time of treatment that would impair the ability of the patient to receive
        protocol treatment.

        Active hepatitis B (positive HBsAg result) or hepatitis C (HCV). Patients with a past or
        resolved HBV infection are eligible if negative for HBsAg and positive for anti-HBc or
        positive for HBsAg, but for > 6 months have had normal transaminases and HBV DNA levels
        between 0-2000 IU/ml (inactive carrier state) and willing to start and maintain antiviral
        treatment for at least the duration of the study. HBV DNA levels > 2000 IU/ml but on
        prophylactic antiviral treatment for the past 3 months and will maintain the antiviral
        treatment during the study. Patients with positive HCV antibody are eligible only if the
        polymerase chain reaction is negative for HCV RNA.

        Known serious active infection including, but not limited to, tuberculosis, or human
        immunodeficiency virus (positive HIV 1/2 antibodies).

        Presence of other active cancers, or history of treatment for invasive cancer, within the
        last 5 years. Patients with Stage I cancer who have received definitive local treatment at
        least 3 years previously, and are considered unlikely to recur are eligible. All patients
        with previously treated in situ carcinoma (i.e., non-invasive) are eligible, as are
        patients with history of non-melanoma skin cancer.

        Women who are either pregnant or breast feeding. Previous allogeneic bone marrow transplant
        Judgment by the investigator that the patient should not participate in the study if the
        patient is unlikely to comply with study procedures, restrictions and requirements.