chat-up
noun
• an act of talking flirtatiously to someone.
• "a chat-up line"
chat up
• engage someone in flirtatious conversation.
• "you're not trying to chat me up, are you?"
Similar:
flirt with,
make up to,
make advances to,
make overtures to,
romance,
come on to,
give the come-on to,
make (sheep's) eyes at,
be all over,
make love to,
set one's cap at,