( CNN ) -- It is the one event in the golfing calendar where Hollywood stars add some gliltz and glamor to golf 's premier European Tour pro-am event . But this year , the great and good from America might be forgiven for keeping their distance from Europe 's Ryder Cup royalty in Scotland . Several of the pivotal members of the victorious European team are back to the day job after one of the greatest sporting comebacks of all time in Chicago . Both actor Bill Murray and 18-time Olympic gold medal winning swimmer Michael Phelps were at Medinah Country Club , as the United States sunk to defeat from a seemingly unassailable position . But though Martin Kaymer , who holed the crucial putt that meant the U.S could not win back the Ryder Cup , Paul Lawrie and Peter Hanson were playing , Phelps was still delighted to be involved . `` With all the history that is around you here , on these great courses , it is just an honour for me to play in this tournament , '' Phelps told the European Tour 's official website . `` I was a bit nervous on the first tee , but it was n't too bad . To be honest , it was more nerve-wracking watching the Ryder Cup last week ! `` My partner Paul Casey was awesome to play with , and there were some good comments going back and forth between us during the round . He gave me some great tips and , by the end , was just telling me to hit it hard ! '' As well as the trio of European players all four of Jose Maria Olazabal 's vice captains were playing , including 2011 British Open Darren Clarke and Paul McGinley , who was playing with Paralympic 400m champion Oscar Pistorius . The South African , known as 'Blade Runner ' , birdied the second hole at the notoriously difficult Carnoustie course and has two more rounds to come , at Kingsbarns and St Andrews ' famous old course . `` It was very stressful for me this morning , '' said Pistorius . `` It was a nervous time on that first tee , and I was just glad to get the ball past the ladies ' tee ! But then I got that net birdie and overall the day was an unbelievable experience for me . `` To play with Paul and to be in a four-ball with ( 2010 European Ryder Cup captain ) Colin Montgomerie and ( five-time Olympic gold medalist ) Steve Redgrave was brilliant , especially as Steve and I have known each other a long time and we are good friends . `` But we did n't have a bet -- we kept it clean ! There was a bit of a competitive spirit between us , so perhaps we 'll have a little match later in the tournament . '' Of all the Ryder Cup contingent it was Kaymer who fared the best , the German shooting a two-under-par round at Carnoustie . The 27-year-old has had a hectic week after his famous putt in Chicago , but said he was glad to be back out on the course . `` There have been plenty of congratulations , '' he said . `` It 's a very nice feeling to come to St Andrews and to come here to Carnoustie , and a lot of people were rooting for us on Sunday obviously and they were watching . It 's very nice to hear . `` If you put everything in consideration : we won last week The Ryder Cup , this week I get to play with my manager and friend , Johann ( Elliot ) , my brother is caddying for him , we 're playing some of the best golf courses in the world , it 's nice weather ; so it 's tough to beat . '' Kaymer 's solid round was nothing compared to tournament leader Branden Grace , who made an eagle and 10 birdies to break Lee Westwood 's Kingsbarns course record with a round of 60 . The South African is on 12-under , two shots clear of Frenchman Victor Dubuisson , who broke the course record at St Andrews with a round of 62 -- topping Rory McIlroy 's feat from the 2010 British Open .
Kingsbarns stars mingle with Ryder Cup royalty at Kingsbarns . Actor Michael Phelps and record breaking Branden Grace swimmer Michael Phelps on show . Ryder Cup heroes Martin Kaymer , Paul Lawrie and Ryder Cup also playing . Branden Grace leads tournament after shooting course record at Kingsbarns .