cozy up to

Verb

cosy up to (third-person singular simple present cosies up to, present participle cosying up to, simple past and past participle cosied up to)

1. (transitive) To come physically close to, using body language in an attempt to persuade another (often hesitant) party to snuggle or embrace.
   • He forgot the whole argument when she cosied up to him on the couch.
2. (broadly, transitive) To form a relationship with some one or some thing for the purpose of obtaining some benefit.
   • It is often suggested that politicians are too inclined to cosy up to big business in order to receive funds for election expenses.