Brian Jensen denied Gabriel Agbonlahor while Friedel saved a long-range strike from Steven Fletcher.
Steven Fletcher's powerful shot put Burnley ahead on 21 minutes after he controlled Brian Jensen's long ball.
Heskey headed home a James Milner cross after Brian Jensen had unconvincingly punched the ball clear from a corner.
Burnley were punished heavily for poor defending, with Bikey caught in possession before Fabregas was allowed to stroll into the penalty area and score low past Brian Jensen.
Watson stepped up to smash home low to Brian Jensen's right.
They soon clicked into gear and Jenas put Keane through with a pin-point pass only for the Irishman's shot to be blocked by Brian Jensen's legs.
But despite Brian Jensen's penalty save from Jamie O'Hara, Hassan Yebda scored a second spot-kick to win it for Pompey before Ricardo Rocha's late red card.
McDonald drew a sharp save from Brian Jensen before blazing over before Burnley created their first chance of note when Chris Iwelumo headed Ross Wallace's measured delivery beyond the crossbar.
The Londoners mounted their first serious threat seconds later when David Bentley's corner was met by Jonathan Woodgate, and when Pavlyuchenko tried to turn it beyond Brian Jensen, the Burnley keeper made a stunning stop.
But it was a game the home side should have won at a canter given the number of chances they had - and Burnley were grateful to goalkeeper Brian Jensen, who produced a string of fine saves.
BBC: SPORT | Football | English Div 1 | West Ham 2-2 Burnley
Villa finally showed some attacking threat before the break - Ashley Young failing to hit the target from long distance after Brian Jensen had rushed out unsuccessfully from his goal, while the otherwise excellent Graham Alexander skewed a clearance narrowly wide.
She found herself in the absurd position of reining in the raunch for cast members Laurie Elizabeth Gardner, Matthew Brian Bagley, Tina Jensen, Alex Gonzalez and their numerous, roving roles.
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