nuzzle up against

nuzzle up against someone or something

 and nuzzle up (to someone or something)
[for an animal] to rub its nose against someone or something; to rub against someone or something, softly, in the manner of rubbing the nose against someone or something; to snuggle up to someone or something. (Nuzzle is related to nose.) The dog nuzzled up against my leg, wanting to be friends. The dog nuzzled up to me and licked my hand.
See also: nuzzle, up