After his defeat, he said even taking a set off third seed Grosjean was a real morale-booster.
Henman was helped by a controversial over-rule from the umpire while facing break point at 4-4 in the opening set against ninth seed Lee.
There were five consecutive breaks of serve in the first set before 14th seed Clijsters established her authority to clinch it 6-4 after 52 minutes.
Fifth seed Ivanovic squandered a 4-0 lead in the third set, as 10th seed Radwanska reeled off six games in a row to reach the quarterfinals with a 6-1 3-6 6-4 victory.
Falla, the world number 60, served for the match at 5-4 in the fourth set, but top seed Federer dug deep.
Rising star Golding lost the first set to the ninth seed but dug deep to claim a 4-6 6-4 6-4 victory on Court 12.
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On their return, and with both going off again in the middle of the second set, the 13th seed Ferrer won just three more games.
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The top seed looked set to cruise through after taking the opening set, but Gulbis fought back in the next two sets and, despite wasting six previous match points, the world number 40 eventually went through 2-6 6-1 7-5 in a match littered with unforced errors.
Third seed Robin Soderling beat Nicolas Almagro 7-5 4-6 6-3 to set up a clash with eighth seed David Ferrer, who beat Lu Yen-hsun 6-3 3-6 6-1.
"He was very close to take that second set, " the top seed told the official ATP website.
Second-seeded Jelena Jankovic and sixth seed Ana Ivanovic set up an all-Serb clash.
Elsewhere, sixth seed Anna Chakvetadze set up an enticing third round meeting with fellow Russian Maria Kirilenko by beating Alisa Kleybanova 6-3 6-4.
Kim Clijsters produced a magificent third-set comeback to pip fifth seed Amelie Mauresmo 3-6 6-3 7-5 and gain a place in the Porsche Tennis Grand Prix final.
But Azarenka won eight of the next nine points and the set, as the sixth seed Li made six of her match total of 57 unforced errors.
Tenth seed Richard Gasquet set up a last-16 clash with world No. 6 Tomas Berdych, while fellow Frenchman Gilles Simon will take on big-serving South African Kevin Anderson.
But Ms. Azarenka won eight of the next nine points and the set, as the sixth seed Ms. Li made six of her match total of 57 unforced errors.
Mauresmo failed to win any of four game points at 5-5, as Clijsters, who came from a set behind to been second seed Lindsay Davenport in the quarter-finals, again broke.
The Frenchman, now ranked 57th after last year serving a ban for testing positive for cocaine which was reduced on appeal due to mitigating circumstances, was defeated in a five-set epic by Russian 20th seed Mikhail Youzhny.
Meanwhile, Munich Open winner Mikhail Youzhny made an early exit to Latvian Ernest Gulbis 7-6 6-4 and 15th seed Stanislas Wawrinka set up a third-round showdown with world number one and Swiss compatriot Roger Federer after beating Leonardo Mayer, who was down 6-4 4-2 when he retired.
Henin won the first set easily but Jankovic took advantage of Henin's fragile serve to level, only for the top seed to win a tense deciding set.
The third seed made light work of Japan's Ayumi Morita 6-1 6-3 to set up a fourth round tie against 14th seed Maria Kirilenko from Russia who was also a straight sets winner (7-6 6-3) over Belgium's Yanina Wickmayer.
The 21st seed came from one set down to beat the Serbian 1-6 7-5 6-3.
And if we're successful, then I think it becomes the seed of a broader set of agreements.
The world No. 36 came from one set down to beat Italian 21st seed Andreas Seppi 7-5 6-3 6-2 6-2.
Canadian rising star and 2011 Rookie of the Year Milos Raonic set up a match with 13th seed Juan Monaco by beating American Jesse Levine 6-4 7-5 6-2.
The Belgian second seed won the first set in 18 minutes but trailed 4-0 in the second before hitting back to set up a match with Australian Sally Peers.
In the men's draw, world No. 1 Novak Djokovic survived a late rally from Spanish fifth seed David Ferrer to set up a Friday semifinal with Argentine No. 21 Juan Monaco .
Henin, playing her first tournament since retiring from the sport in May 2008, looked on track for an easy victory after breezing through the opening set 6-2 against seventh seed Melinda Czink.
Federer had beaten Falla in straight sets in both of their previous meetings but was almost made to pay for a poor first set, which saw the top seed make a remarkable 21 unforced errors.
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