Tennis: Agassi wins to extend US farewell.
But Agassi, who will retire after this tournament, showed his experience to win it 6-4 6-4 3-6 5-7 7-5 and secure his place in the third round.
Following the grueling four-hour match, Agassi said: "I knew I had to play well tonight and I got up two sets to love but he raised his game.
"I just fought hard and to see someone (Baghdatis) struggle so hard physically at the end was not an ideal way for such a high-standard game of tennis to end. I felt so good today and what a time to feel it."
Meanwhile, Tim Henman heads into his 12th meeting with Roger Federer admitting the Swiss has turned the tables on a rivalry he used to dominate. Their first four encounters resulted in Henman victories, but since then Federer has been on top.
"It is as tough a test as you can have," said Henman.
"But it depends which way you want to look at it. Do you want to look at it as a tough draw or a great opportunity?"