Zian Flemming gave the Clarets the lead on the hour mark but it didn’t last for long, with the Cottagers turning the game on its head within 13 minutes.
Josh King and Harry Wilson both capitalised on some poor Burnley defending to put Marco Silva’s side into a 2-1 lead.
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Burnley’s misery was then completed at the death after Raul Jimenez converted a penalty after Josh Laurent had been shown a straight red card.
Here’s how Burnley’s players rated:
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1. Martin Dubravka - 5/10
Sparked the collapse with his error for Josh King’s equaliser. Made a couple of smart saves, but it was all in vain. (Photo by Julian Finney/Getty Images) Photo: Julian Finney
2. Kyle Walker - 6/10
Had his hands full with Oscar Bobb and Antonee Robinson down the left flank, but he stood up to the challenge pretty well. (Photo by Carl Recine/Getty Images) Photo: Carl Recine
3. Bashir Humphreys - 7/10
Stood up well in the main to Fulham’s pressure, right up until the end when it all came crashing down. Photo: Kelvin Lister-Stuttard Photo: Kelvin Lister-Stuttard
4. Maxime Esteve - 6/10
Similar to above really, although he did look a little shaky at times trying to deal with Rodrigo Muniz’s physicality. (Photo by Gareth Copley/Getty Images) Photo: Gareth Copley