Neither player connected after a flurry of punches in the second confrontation between the two in the inning.
Gregg had thrown two pitches inside to Ortiz, who started toward the mound after the second. Players from both benches and bullpens trotted onto the field, but nothing developed.
Gregg then got Ortiz to pop out and shouted something to the Boston slugger, who charged and met Gregg about halfway between the mound and first base line.
Umpire Mike Estabrook, who had already ejected Gregg, couldn't quite reach Ortiz in time to stop him. The benches and bullpens cleared again and took several minutes to settle down as Boston fans cheered "Pa-pi!"