The two posed for photos alongside their son, Legendary Love.
"She had a million other things going on and she wanted to move forward," Stone said of Gomez's decision to not pursue a spinoff.
The U.K. producer will also do a three-night run at New York's Forest Hills Stadium in October.
Presented by Amazon Music's Rotation, TheBasement returns on June 20 in Los Angeles with performances by Ebony Riley, Lakeyah and more.
Swift will be bringing the tour around the world next year
The performance marked the close of this year's festival.
Spokespeople said the couple "mutually decided to part ways" after coupling up earlier this year.
The festival happens in Kingston Downs, Ga., in September.
"Copa Vacía" will mark the first collaboration between the two Colombian artists.
The couple made the announcement on Father's Day.
