Playing in his first match since losing an epic Australian Open final to Novak Djokovic, two-times champion Nadal beat Argentine Leonardo Mayer 6-1 6-3. Federer breezed into round three with a 6-4 6-1 win over Denis Kudla of the US. In the women\'s draw, second seed Petra Kvitova suffered a shock 2-6 6-2 6-3 loss to American Christina McHale, but top seed Victoria Azarenka progressed. \"She started off serving really well,\" said 19-year-old McHale, the 32nd seed. \"I couldn\'t get a read on her serve in the first set, and I wasn\'t moving very well, either. \"And then I just hung in there early in the second, and then she played one service game where she gave me a couple of loose errors, and then I just kept hanging in there. Then I got more comfortable as the match went on.\" Azarenka thrashed 25th seed and former French and US Open champion Svetlana Kuznetsova 6-1 6-2 in exactly an hour, saying: \"I knew she was going to be dangerous. \"She\'s a Grand Slam winner. I really had to step it up from my last match, and I\'m glad I could perform much better than I did in that first match.\" Fifth seed Agnieszka Radwanska overcame 27th seed Flavia Pennetta 6-4 6-2, but ninth seed Vera Zvonareva withdrew due to a viral illness that has affected both players and fans in Indian Wells. Federer has been struggling with a flu bug and slight temperature but saw off 19-year-old Ukraine-born American Kudla in just 57 minutes. \"I\'m always relieved and happy when I am able to find my way into a tournament,\" said Federer, who should face a tougher test against Canadian 27th seed Milos Raonic in round three. \"It\'s a good start for me. I didn\'t know Kudla very much, or at all, really, so it was a good win for me.\" Nadal showed no ill effects on his return to competitive action as he dominated Mayer to set up a meeting with fellow Spaniard Marcel Granollers, a 6-3 2-6 6-3 winner over Tommy Haas. World number two Nadal, who took February off to rest his shoulder, said: \"Very happy to be back in competition, that\'s the first thing. This is a tournament that I love. I really enjoy playing this tournament. Always in my career, I had good success here. I played very good matches. \"It\'s nice to be back playing at the very good level. Winning is the most important thing. It\'s not easy to be back after a while without competition, but I did really well. I started the match very focused, very aggressive. I\'m very happy about almost everything.\" Former US Open champion and ninth seed Juan Del Potro beat Australian Marinko Matosevic 7-5 6-2, while Fernando Verdasco was too strong for Ryan Sweeting, winning 6-2 6-2. In the doubles, Andy and Jamie Murray beat fellow Brits Colin Fleming and Ross Hutchins 13-11 in a match tie-break.