It was a happy 27th birthday for Dominic Thiem as he eased to a straightforward win over India’s Sumit Nagal in the second round of the US Open.

The second seed has a good record in New York and is yet to drop a set after a 6-3 6-3 6-2 victory against 124th-ranked Nagal.

Thiem next faces an intriguing clash against former champion Marin Cilic, who battled to a 6-3 1-6 7-6 (2) 7-5 victory over Norbert Gombos.

“He’s one of the big champions of the last decade, one of the very few active players who won a grand-slam tournament, here in New York, of course,” said Thiem.

“Even though for sure he’s not on the top of his game, beginning of this year, maybe also last year, he’s always dangerous for a big and deep run in these big tournaments. It’s not a guy I want to face in the third round.”

Another tasty-looking encounter will see 11th seed Karen Khachanov face young Australian Alex De Minaur.

De Minaur, the 21st seed, needed four sets to see off Richard Gasquet 6-4 6-3 6-7 (6) 7-5 while Khachanov was a comfortable 6-3 6-4 6-1 winner against fellow Russian Andrey Kuznetsov.

There was a surprising outcome in the all-Canadian battle between Vasek Pospisil and 25th seed Milos Raonic, who was viewed as a dark horse after his run to the final of the Western & Southern Open last week.

Pospisil has had political distractions as one of the key figures behind the new Professional Tennis Players Association but kept his mind on the day job in an impressive 6-7 (1) 6-3 7-6 (4) 6-3 victory.

Eighth seed Roberto Bautista Agut needed four sets to see off Miomir Kecmanovic while 10th seed Andrey Rublev is also through.

Russian third seed Daniil Medvedev, last year’s runner-up, was a straight-sets winner over Australian Chris O’Connell but Grigor Dimitrov, a semi-finalist 12 months ago, lost in five to Marton Fucsovics.