Dempsey (left) and Washington
Jim Smeal/BEImages; Jamie McCarthy/WireImage
There would have been no shortage of bandages if things had really gotten out of hand during an on-set argument between Grey's Anatomy costars Patrick Dempsey and Isaiah Washington on Monday.
Dempsey, 40, and Washington, 43, didn't need medical aid, but the actors, who both play renowned doctors on the show, nearly came to blows during a spat over shooting issues.
"We were like two baseball players . . . nose-to-nose," Washington tells PEOPLE. "We had a difference of opinions while working on set but we've resolved it."
At issue, says Washington, was "time and (keeping) the production going. The communication was lost in translation."
But no punches were thrown: "Our faces are too beautiful for that!," says Washington, who plays Dr. Preston Burke. Dempsey plays heartthrob Dr. Derek Shepherd, otherwise known as "Dr. McDreamy."
In fact, just a few hours after the dustup, Washington and Dempsey were sitting side by side at a script read-through.
"In close families arguments happen," Dempsey's rep tells PEOPLE. "They worked it out."
Washington even learned a little something about his costar. "I've never been that close to (Patrick) before," he says. "He has really pretty blue eyes."