Come hang out next Sunday.

Literal

Next-week [possessive-の] Sunday [on-に] play [to-に] come-please.

遊びに来る ('come [to] play / hang out') is a set expression for casual social visits — 遊ぶ here doesn't mean 'play' as in games, but 'spend leisurely time.' 遊びに来てください is a friendly invitation to drop by.