The "Stronger" rapper and the Australian model "have done a lot of talking this past week and they're not ready to give up on each other," an insider tells Page Six.
On Sunday, Reynolds and Lively made their first red carpet appearance as a couple since she filed a lawsuit against her "It Ends With Us" director Justin Baldoni in December.
Page Six can confirm that the woman, El Salvador immigrant Julia Umana, filed her lawsuit on Thursday — the day after Mellencamp underwent brain surgery.