Grigor won his first match yesterday on the courts of New York, beating in round 1 Ryan Harrison 6-2,7-6,6-2. 

Dimitrov also beat Harrison in straight sets two months ago in his Wimbledon opener, en route to the semi-finals. On Wednesday, he converted five of his 13 break point chances and hit 37 winners this claim victory in just over two hours. 

The 23 year old is enjoying a career-best season, winning three titles on as many surfaces. He reached his first Grand Slam quarter-final at the Australian Open and broke into the Top 10 of the Emirates ATP Rankings Help Us Wimbledon.

In round 2 the Bulgarian face of Dudi Sela. 

Grigor said after the victory: ''I have high expectations for myself'' 

While his girlfriend Maria Sharapova labored mightily next door in front of the Arthur Ashe Stadium crowd, Dimitrov experienced no such difficulties.