Phil Mickelson could make first appearance in the Grand Slam of Golf in Bermuda after winning the Open in Muirfield, Scotland on Sunday.The left-handed American has had four previous major victories but missed out on the end-of-season event because of injury or other commitments.Previously he’s played in the Merrill Lynch Shoot-Out in Mid Ocean Club but won’t have fond memories of the Island having been the first player to be eliminated. That tournament had an unusual format whereby a player could be knocked out at any hole until the last two remained.The Slam in Port Royal invites the year’s four major winners.Englishman Justin Rose booked his ticket to Bermuda after pipping Mickelson to win the US Open at Merion last month.And Australian Adam Scott secured his place in the-four player event by winning The Masters.The Bermuda tournament offers a purse of a $1.35 million with the winner receiving $600,000. Second place is worth $300,000, third place $250,000 and fourth place $200,000.Aired on the TNT network, the tournament has, in the past, reached a worldwide audience of 88.9 million.This year the 36-hole event will be played on October 15-16 and is preceded by a pro-am featuring the top pros.