At the concert, Paltrow, 43, posted an Instagram photo of Apple, 11, and Moses, 9, from their luxury seats in Gillette Stadium.
“Baby daddy in a sweet duet with the immensely talented #edsheeran #yellow” she wrote.
Before the Friday show, Paltrow and the kids hit up Davio’s Northern Italian Steakhouse at Patriot Place in Foxborough, where they sampled everything from shrimp rolls to tuna tartare to twice-baked potatoes.
“[Paltrow] was super nice, funny and very polite!” their server told PEOPLE. “Her kids, too. They had good manners.”
There was no sign of Paltrow’s boyfriend, Scream Queens and Glee co-creator Brad Falchuk, on Friday night, though he has roots in Boston. He grew up in the city’s suburbs and his brother, Evan Falchuk, is a well-known local politician.