• Schwartzman next for Nadal
• Tiger in Nadal's corner
• Nadal into 40th career Grand Slam quarter-final

NEW YORK: Rafa Nadal faced his stiffest challenge yet at the US Open but raised his game to beat Marin Cilic 6-3 3-6 6-1 6-2 on Monday and continue his quest for a fourth Flushing Meadows title. The second-seeded Spaniard was in cruise control as he took the first set behind some superb serving and stout defence but the big-hitting Croatian battled back to snatch the second. That was as good as it would get for Cilic, however, the momentum shifting decisively in Nadal's favour when he jumped in the air to hit a spectacular overhead smash that electrified the crowd. Cilic would double fault later in the game to give Nadal a 3-1 lead and he would never threaten again on a hot and humid night in New York, with Tiger Woods among the star-studded crowd at Arthur Ashe Stadium cheering on the Spaniard. 'It means a lot to me to have him supporting,' said Nadal. 'He's an amazing inspiration, all the things that he accomplishes in sport, the way that he managed to keep fighting that hard.' Nadal fired a forehand winner on match point to seal the victory and make his 40th quarter-final at a Grand Slam event. 'For some moments in the second set I felt there were too many points in his hands,' said Nadal. 'He was pushing me back ... after (the) second set I thought something needed to change.' The 33-year-old has had a relatively stress-free time at the tournament so far, dropping just one set and getting a walkover in the second round. Next up for the 18-time Grand Slam champion is a meeting with Argentine Diego Schwartzman, who toppled Alexander Zverev in their round of 16 clashes earlier in the day. The diminutive Argentine has faced Nadal seven times and lost every meeting but has proven a difficult test in the slams, forcing the Spaniard to go four tough sets at the 2018 Australian and French Opens. 'He is one of the most talented players on our tour,' said Nadal, who sometimes trains with Schwartzman. 'He has everything, amazing control, amazing speed. 'He has the ability to read very well your shots and to understand very well the game. Is not a surprise he is there. 'I know people can think that Zverev was favoured before that match. Honestly for me, today, Schwartzman was favoured. 'I saw him play a couple of matches during this tournament, he was playing great. 'I need to play my best in the next round to have the chance to be in that semi-finals.' Nadal is on a collision course with third seed Roger Federer and could meet his old rival in Sunday's final if both players advance. Federer faces Grigor Dimitrov in the quarters on Tuesday.