遊びに来て

come over

→ 遊び
phrase Common #7,957
come over 遊びに来る means to visit or come spend time with someone, not necessarily to play. The form 来て can also be used as a casual request: “come over.”
JA: 週末、うちに遊びに来て。
EN: Come over to my place this weekend.

明日遊びに来てもいいですか。

May I come over to hang out tomorrow?

今度遊びに来てね。

Come visit me sometime.

いつでも遊びに来て下さい。

Please come visit anytime.

また遊びに来てね

Come visit again sometime!

— Arrietty (2010)

明日って、遊びに来てくれるんだよね?

You’re coming over to hang out tomorrow, right?

その気になったらいつでも遊びに来て下さい。

Come visit anytime you feel like it.

遊びに来て

Come over sometime.

— ラストエンペラー (1987)