This is a multicentre, phase II, interventional, prospective, single arm, non-randomised study focused on ALK+ NSCLC with extracranial progression on Lorlatinib.Treatment phase include the period starting from cycle 1 day 1 visit to discontinuation of study therapy and consists of two phases: induction phase and maintenance phase. Platinum-pemetrexed based chemotherapy plus Lorlatinib will be administered for an induction phase of four cycles. Subsequently, patients with response or stability of disease at radiological assessment will start the maintenance phase with pemetrexed-Lorlatinib in 21-day cycles until progression, unacceptable toxicity, death, or withdrawal of consent.