US Open
US Open: Osaka in fine fettle, beats Ostapenko to make second round
Naomi Osaka beat Jelena Ostapenko 6-3, 6-2 on Tuesday. She'll play Karolina Muchova in the next round
US Open: Virtanen overcomes tricky Halys to reach second round
Otto Virtanen beat Quentin Halys 6-3, 6-3, 6-7 (4), 6-2 on Tuesday and will play the winner of the match between Australian Alex De Minaur, the No 10 seed, and American Marcos Giron in the next round
US Open: Michelsen books spot in second round with solid victory
Alex Michelsen won against Eliot Spizzirri 6-1, 7-5, 6-3 on Tuesday and will play the winner of the match between Italian Jannik Sinner, the top seed, and American Mackenzie McDonald in the next round
US Open: Kokkinakis upsets Tsitsipas in four sets, moves into second round
Thanasi Kokkinakis edged out Stefanos Tsitsipas 7-6 (5), 4-6, 6-3, 7-5 on Tuesday. He'll face the winner of the match between Portuguese Nuno Borges and Argentinian Federico Coria in the next round
US Open: Daniel upset by Schoolkate in first round
Taro Daniel was upset by Tristan Schoolkate 4-6, 4-6, 6-4, 7-6 (6), 6-4 on Tuesday and will play Jakub Mensik in the next round
US Open: Wozniacki dominates Hibino to move into second round
US Open: Draper into second round as Zhang retires in third set
US Open: Cocciaretto thrashes Baindl to advance into second round
US Open: Qualifier Shibahara defeats Saville to reach second round
US Open: Machac too good for Fognini, reaches second round in straight sets
US Open: Swiatek tested but safely through against qualifier Rakhimova, into second round
US Open: Hurkacz eases past qualifier Skatov to make second round
US Open: Collins bows out of Grand Slam tennis with defeat by Dolehide in round one
US Open: Navone knocks out Altmaier to reach second round
US Open: Boulter battles past Sasnovich to make second round
US Open: Goffin comes through Tabilo test to move into second round
US Open: Errani comes back from a set down vs Bucsa, into second round
US Open: Rising star Mensik outclasses Auger-Aliassime in big upset to reach second round
US Open: Thompson cruises against Lestienne, rolls into second round
US Open: Krueger recovers from opening-set bagel loss to reach second round