Joe Jonas and Sophie Turner Appear To Have Child Custody Arrangement

Joe Jonas and Sophie Turner appear to be making progress in their bitter child custody dispute … because it looks like they’ve come to an agreement on a time-share with the kids.

The Jonas Brothers member spent Monday morning with his two daughters at a park in New York City before dropping them off with his estranged wife.

As you can see, Joe was all smiles as he left Taylor Swift‘s place … that’s where Sophie is staying while she’s in the Big Apple.

The handoff makes it seem like Joe and Sophie hammered out an agreement on child custody … as we first reported, the former couple is deep in mediation to settle their nasty divorce.

Joe and Sophie have been spending a lot of time this month trying to reach a divorce settlement … remember, they have a prenup and one of the provisions is that they go to mediation to settle all outstanding issues related to their divorce.

As we reported … we’ve been told they are both cool with joint custody, provided they can agree on a structure, and this makes it look like they’ve done just that.