“My aim is to win as many grand slams as possible and be No 1 in the world,” Holger Rune says with cool assurance on a stinking hot day in Cincinnati. “It’s very, very clear for me and it’s always been like that since I was a child.”
The 22-year-old Dane is the world No 11 and he has reached the quarter-finals of Wimbledon and, on two occasions, the French Open. As the US Open approaches, he has yet to make the semi-finals of a grand slam but his bold ambition seems more concrete when his impressive record against the best two players in the world is remembered. Rune has played Carlos Alcaraz four times, winning twice, including a 7-6 (6), 6-2 victory in their most recent encounter, four months ago in the final of the Barcelona Open. He has also beaten Jannik Sinner twice in their five matches against each other.
