He's seeing a girl he had (from what it looks like) a pretty nasty break-up with.
You know, I might be more forgiving on this score if it wasn't A YEAR AND A HALF and MORE THAN 50 ISSUES AFTER THE FACT, and we STILL don't know ANYTHING about how or why Peter and Mary Jane broke up.
Good stories SHOW, rather than TELLING, but BND has somehow managed to do NEITHER.