Baghdatis came into the clash in positive spirits after his opening round victory over Luxembourg's Gilles Muller on Tuesday, and after both players exchanged a break of serve
each, the first set went to a tie-break, which the Cypriot eventually won after saving a set point.
Another break of serve
in game seven set Murray up for victory which he secured by serving out for a 6-1 6-2 success in 58 minutes.
But Lucic-Baroni, the world number 70, wasn't able to capitalise and after the 13th break of serve
of the match in the 11th game, it was Cornet who emerged triumphant.
The match against the 24-yearold Canadian was not a walkover for Murray and he needed to fight back from a break of serve
down in the second set to win - but the world No 4 showed his class and claimed victory in one hour and 43 minutes.
However, Ferrer produced a timely break of serve
and then followed that up with another in game 12 to set up a meeting with compatriot Fernando Verdasco.
Bambridge, a member of the British team which won the junior Davis Cup, rode the barrage and levelled the match with one break of serve
himself in the second set.
Murray broke Matosevic's serve in just the third game of the opening set but it was a second break of serve
, to take a 4-1 lead, that really put Murray in the driving seat with a combination of a perfect backhand down the line and a well-executed lob opening up what proved to be an unassailable gap.
Radwanska, runner up at Wimbledon last year, had to serve to stay in the match, but Robson claimed her fifth break of serve
He sped to a 3-0 lead in the third with one break of serve
, but del Potro broke back to narrow the gap to 3-2.
Del Potro then began the second set with a break of serve
and turned up the pressure to run out the winner with six aces and three breaks of serve in just under 90 minutes on court.
Robson, 17, looked like winning easily when she claimed an early break of serve
to lead 2-0 in the second set.
However, Cibulkova had knocked out another former champion, Svetlana Kuznetsova, in the fourth round and recovered from an early break of serve
to make life difficult for Wozniacki in the second set.