Jo-Wilfried Tsonga, seeded seventh, came from a set down to defeat Spain's Fernando Verdasco 4-6 6-3 6-2.
The Swede will now meet Tomas Berdych after the Czech giant-killer battled back to see off Fernando Verdasco.
Czech 16th seed Tomas Berdych, who knocked out Federer on Wednesday, will play Spanish No. 10 Fernando Verdasco.
Tomas Berdych set up a third-round match with Verdasco after beating Richard Gasquet of France in straight sets.
Murray's path through the draw could potentially take in Hajek, Gilles Simon, Sam Querrey, Fernando Verdasco, Nadal and Federer.
BBC: Andy Murray to play Czech Jan Hajek in Wimbledon opener
Later on Sunday, Spain's Fernando Verdasco upset top seed Andy Roddick to win the SAP Open in San Jose.
Fellow Briton Richard Bloomfield went down 6-4 6-2 to Robby Ginepri, and Max Mirnyi beat Fernando Verdasco 6-3 6-3.
"I want to be the one to break Nadal's streak, " Verdasco told reporters.
Murray will play third seed Fernando Verdasco for a place in the final.
In the other quarter-final matches, Spain's Verdasco beat Germany's Rainer Schuettler 7-5 6-2.
Lopez and Fernando Verdasco will face Nalbandian and Agustin Calleri in Saturday's doubles.
The hosts are currently 2-0 up against a Spanish team without Rafael Nadal, David Ferrer, Nicolas Almagro and Fernando Verdasco.
The Scot was below his best in beating Fernando Verdasco on Thursday and came up short against a rejuvenated Nalbandian.
He also selected David Ferrer, Feliciano Lopez and Fernando Verdasco, with Santiago Ventura, ranked 122nd, travelling as the first substitute.
He will now play Marin Cilic in the last eight after the Croatian beat Spain's Fernando Verdasco 4-6 6-1 6-4.
Murray's next opponent will be Roger Federer, on Tuesday night, after the world number one beat Fernando Verdasco in the evening match.
Serve-and-volleyer Llodra's victory over Verdasco, a player ranked 25 places above him in the world, came as more of a shock result.
Djokovic will play Tomas Berdych who beat Fernando Verdasco 6-4 6-2 6-3.
Cilic was joined in round three by French fifth seed Jo-Wilfried Tsonga and Spanish sixth seed Fernando Verdasco, who both recorded straight-sets victories.
Verdasco breezed past Frenchman Julien Benneteau 6-2 6-1 in just under 75 minutes, while Tsonga defeated Nicolas Almagro of Spain 7-6 (7-5) 7-5.
Davydenko remained ahead of Fernando Verdasco in the race to secure the two remaining places for the eight-man showpiece event later this month.
"It was a very tough match and after losing the first two sets it was the best comeback of my career, " said Verdasco.
Once again the mixed doubles proved the decider and Medina Garrigues and Verdasco paired to see off Johansson and Tsonga (FRA) 6-3 6-3.
Michael Llodra and Julien Benneteau beat Fernando Verdasco and Feliciano Lopez 6-1 6-2 6-7 (6-8) 7-6 (7-5) to give France an unassailable 3-0 lead.
Monte Carlo finalist Guillermo Coria , the 13th seed, kept his recent good form going with a comfortable 6-2 6-2 win over Fernando Verdasco.
Federer looked in danger of a third straight defeat as Verdasco breezed through the opener and threatened a massive upset in the second set.
Federer was in charge now and three beautiful backhand winners helped him break at the start of the decider as Verdasco's confidence drained away.
Michael Llodra beat Fernando Verdasco 6-7 (5-7), 6-4, 6-3, 7-6 (7-2) after Gael Monfils prevailed 7-6 (7-3), 6-2, 4-6, 5-7, 6-4 against David Ferrer.
Spain went into their semi-final without injured top-10 pair Rafael Nadal and Fernando Verdasco but that mattered little with Ferrer and Ferrero both impressing.
Serb Djokovic beat Brazilian Thomaz Bellucci 6-4 6-4 and will now face Spanish sixth seed Fernando Verdasco -- who defeated compatriot Guillermo Garcia-Lopez 6-4 7-6.
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