Four straight defeats had left the Slammers at the bottom of the table, but they battled back to level at 23-23, forcing a super shootout and Tomas Berdych defeated Monfils 10-6 to clinch victory over the league leaders.
Serena Williams gave the hosts a perfect start with a 6-4 victory over Ana Ivanovic after wiping out a 3-1 deficit.
But the tie appeared to be slipping away from Singapore as Williams and Bruno Soares lost the mixed doubles 6-3, while Andre Agassi was thrashed 6-2 by Aces skipper Fabrice Santoro in the ???icons??? singles match.
With his side trailing 16-11, Berdych responded with a dominant 6-2 win over Gael Monfils, paving the way for Lleyton Hewitt and Nick Kyrgios to claw back the deficit in the final men???s doubles set.
The Australians edged the contest 6-5 following a five-minute shootout when the scores were tied at 5-5, with Hewitt dedicating the victory to deceased cricketer and “dear friend Phillip Hughes”, whose funeral took place on Wednesday.
This victory tied the match, bringing Berdych back to the court for a??seven-minute super shootout??and he defeated a weary Monfils to bring up Singapore???s first win.??
“There’s no better feeling than that,” said Berdych. “It’s great to share in such an important win with the guys and you can see that everything is possible in this game. We have our first win.”