The Spaniard later apologised profusely for "stupid and out of place" comments that came a week after the two players were involved in a spat at the Players Championship in Florida in May.
The 33-year-old was not punished by golf's governing bodies after jokingly telling reporters at the European Tour's annual awards ceremony last month that he would serve Woods fried chicken every night for dinner during the US Open following their public argument at Sawgrass.
Woods pulled on his golf clothing and accepted Garcia's handshake on the practice ground at Merion on Monday, the first time that the two players had spoken since Garcia made the remarks.
While publically the two players seem to have buried the hatchet, former European Ryder Cup captain Colin Montgomerie believes that Garcia could face a hostile reception from the American gallery at Merion, which is just outside of Philadelphia.
"You would feel for him, but the trouble is [if] you feel for him that's you condoning it. So you can't feel sorry for him because you're condoning it. So it's very difficult - it's a very difficult situation to be in," Montgomerie said.