The phrase "to cozy up to" means to get close or friendly with someone, often in order to gain an advantage. It can also refer to trying to win favor by being nice or flattering.
Sentences with «to cozy up to»
Why not cozy up to a warm banana smoothie instead? (cleancuisine.com)
Grab a cup of your favourite beverage and cozy up to read my posts. (jamilakyari.com)
We recently moved in to a new home and I am trying to cozy it up to feel more like home. (theinspiredroom.net)