来ませんか

would you like to come?

→ 来る
phrase Rare #27,581
would you like to come? A polite way to invite someone to come. Although it is grammatically a negative question, it usually functions as a friendly invitation rather than a question expecting a negative answer.
JA: 明日の夜、映画を見に来ませんか?
EN: Would you like to come over tomorrow evening to watch a movie?

夕食を食べに来ませんか

Would you like to come over for dinner?

私といっしょに来ませんか

Would you like to come with me?

土曜日に家に来ませんか

Would you like to come over to my house on Saturday?

私のパーティーに来ませんか

Would you like to come to my party?

近いうちに私のところへ来ませんか

Won’t you come over to my place sometime soon?

今度の日曜日に家へ来ませんか

Would you like to come over to my house this Sunday?

週末遊びに来ませんか

Would you like to come over this weekend?