Trial for Local Ablative Treatment (LAT) Optimization in Patients With Advanced Non-Small Cells Lung Cancer (NSCLC) Presenting an Anaplastic Lymphoma Kinase (ALK) Rearrangement Treated by Brigatinib

Inclusion Criteria: * Age 18 years or older at diagnosis. * Stage 3 non eligible for chemoradiotherapy or stage 4 NSCLC, histologically or cytologically confirmed NSCLC. * Tyrosine Kinase Inhibitor (TKI) treatment naïve. * ALK rearrangements identified by a validated technique (either Immunohistochimy (IHC), fluorescence in situ hybridization (FISH) or Ribonucleic Acid (RNA)seq, in tissue or liquid biopsy) * Stable disease or response after initiation brigatinib treatment (at least 3 to 9 months) according to RECIST 1.1 * At least one site of residual site for LAT (ie. participant should not have a complete response) * Oligometastatic disease (five metastatic lesions or less and a maximum of two lesions per organ) de novo or induced * Eligible for local ablative treatment possible (either alone or combined): surgery, minimally invasive form of surgical radiosurgery (Stereotactic Radio Surgery (SRS)) (18 to 20 Gy in single fraction) or radiotherapy (SBRT) (27 to 54 Gy in 3 fractions or 45 to 50 Gy in 5 fractions), radiofrequency or cryotherapy (=thermoablation) * An Eastern Cooperative Oncology Group (ECOG) performance status (PS) ≤2. * Life expectancy above 12 weeks as assessed by treating investigator. * Brain metastases at inclusion are allowed if asymptomatic * No history of other malignant tumor during the previous 5 years, except for adequately treated carcinomas (in situ cervical carcinoma, basal cell carcinoma, squamous cell skin carcinoma) and low-grade localized prostate cancer (Gleason \<6). * Adequate organ function, as demonstrated by laboratory results prior to the first administration of study treatment: normal hepatic function (bilirubin ≤1.5 x upper limit of normal (ULN), alanine aminotransferase (ALA T) and aspartate aminotransferase (ASAT) ≤2.5 x ULN or ≤5 x ULN in case of liver metastases), renal function (calculated creatinine clearance (CrCl, using local formula) above 45 ml/mn), normal hematological function (absolute neutrophil count ≥1.5 x 109/L and/or platelets ≥100 x 109/L, hemoglobin ≥8 g/dL), normal coagulation function (International Normalized Ratio (INR) or prothrombin time ≤1.5 x ULN and activated partial thromboplastin time (aPTT) or partial thromboplastin time (PTT) ≤1.5 x ULN unless the patient is receiving anticoagulant therapy) * For patients of childbearing potential: Women of childbearing potential should use effective non-hormonal contraception during treatment with brigatinib and for at least 4 months following the final dose. Men with female partners of childbearing potential should use effective contraception during treatment and for at least 3 months after the last dose of brigatinib. * Signed informed consent to participate in the study * Affiliation with or benefit from French social security Exclusion Criteria: * NSCLC without known ALK rearrangements * Neuroendocrine tumor (even in case of mixed tumors). * Uncontrolled and untreated superior cava syndrome. * Unstable symptomatic brain metastases despite corticosteroid * Leptomeningeal, pericardial, pleural and mesenteric lesions, lymphangitic spread (any tumoral lesions not amenable to definitive local therapy). Peri tumoral lymphangitic spread around a tumor, but limited to a lobe, may be treated by surgery). * Serious concurrent conditions during the previous 6 months (severe or unstable angina pectoris, coronary or peripheral artery bypass graft of \<6 months, class 3 or 4 congestive heart failure, ischemic stroke, grade ≥2 peripheral neuropathy, psychiatric or neurological disorders that may interfere with the patient's understanding of the study or with his/her informed consent. * Severe or non-controlled systemic diseases deemed incompatible with the protocol. * Severe infections within 4 weeks prior to inclusion, including, but not limited to, hospitalization for complications of infection, bacteremia, or severe pneumonia. * Psychological, family, social, or geographical factors that may interfere with the monitoring of the patient as defined by the protocol. * Any protected person (legal person protected by legal protection \[guardianship, tutorship\], person deprived of liberty, pregnant woman, breastfeeding woman, and minor). * Patients who participated in other concomitant studies unless observational and received study therapy or used an investigational device within 4 weeks prior to start of study treatment * Known allergies or adverse reactions to the study drugs * Lung function not compatible with surgery or radiation