* Current enrollment in another interventional clinical trial.
* Current treatment with other anticancer agents or devices.
* Major surgery, other than surgery for recurrent SCLC, within 4 weeks prior to treatment start.
* Patients with prior wide-field radiotherapy (RT) affecting at least 20 percent of the bone marrow.
* Histologically transformed SCLC, i.e. tumors initially diagnosed as Non-Small Cell Lung Cancer (NSCLC) or mixed lung adenocarcinoma
* Known paraneoplastic syndrome uncontrolled or that required therapeutic changes (either new/acute or chronic) in the 14 days prior to study entry
* Use of full-dose anticoagulants unless the International Normalized Ratio (INR) or a Partial Thromboplastin Time (PTT) is within therapeutic limits (according to the medical standard in the institution) and the patient has been on a stable dose of anticoagulants for at least 2 weeks before enrollment.
* Treatment with concomitant medications known to be sensitive substrates of CYP2D6 and CYP2C19 that cannot be replaced with another treatment.
* Treatment with systemic immune modulators such as corticosteroids at prednisone equivalent dose of > 10 mg/day, cyclosporine and tacrolimus or radiotherapy within 28 days before treatment start.
* Breast-feeding women or women planning to breast feed during the study or within 3 months after study treatment.
* Known hypersensitivity to any component of NMS-03305293 or Temozolomide (TMZ) drug formulations.
* Known active, life-threatening or clinically significant uncontrolled systemic infection (bacterial, fungal, viral including Human Immunodeficiency Virus [HIV] positivity or Hepatitis B Virus [HBV] or Hepatitis B Virus [HCV] infections) requiring systemic treatment; HIV or Acquired Immune Deficiency Syndrome (AIDS)-related illness are allowed as long as controlled more than 6 months to undetectable on anti-HIV medications.
* Patients with QT interval using Fridericia standard (QTcF) interval >450 milliseconds or with risk factors for torsade de pointes (e.g., uncontrolled heart failure, uncontrolled hypokalemia, history of prolonged QTc interval or family history of long QT syndrome). For patients receiving treatment with concomitant medications known to prolong the QTc interval, replacement with another treatment prior to enrollment is mandatory. If concomitant use of anti-emetics is considered essential for the care of the patients, follow instruction in this protocol
* Known active gastrointestinal disease (e.g., documented gastrointestinal ulcer, Crohn's disease, ulcerative colitis, or short gut syndrome) or other malabsorption syndromes or structural issues or ulcer that would impact on drug absorption.
* Any of the following in the previous 6 months: myocardial infarction, unstable angina, coronary/peripheral artery bypass graft, symptomatic congestive heart failure, cerebrovascular accident or transient ischemic attack, pulmonary embolism, deep vein thrombosis, active bleeding disorder and interstitial lung disease.
* History of long QT disorder or familial sudden death syndromes or related syndromes in the opinion of the Investigator.
* Currently active second malignancy, except for adequately treated basal or squamous cell skin cancer and/or cone biopsied or post curative intention in situ carcinoma of the cervix uteri and/or superficial bladder cancer.
* Symptomatic, or untreated central nervous system (CNS) lesions except stable and well controlled with no neurological symptoms; patients receiving corticosteroids to control neurological symptoms should be on stable doses for at least 14 days before study entry.
* Other severe acute or chronic medical or psychiatric condition or laboratory abnormality that may increase the risk associated with study participation or study drug administration or may interfere with the interpretation of study results and, in the judgment of the Investigator, would make the patient inappropriate for entry into this study or could compromise protocol objectives in the opinion of the Investigator and/or the Sponsor.
NOTE: Other protocol defined inclusion and exclusion criteria may apply.