Yeovil striker Lloyd Owusu's penalty rebound cancelled out Luciano Becchio's first-minute strike to deny Leeds victory in a fiery game at Huish Park.
Becchio outpaced Terry Skiverton and fired a low shot past keeper Asmir Begovic to put the visitors ahead.
But Yeovil replied when Paul Warne was fouled by Paul Huntington and although Owusu's spot-kick was saved by Casper Ankergren, Owusu netted the follow-up.
The Glovers almost won it late on with Gavin Tomlin twice going close.
Yeovil: Begovic, Peltier, Skiverton, Forbes, Jones, Downes (Roberts 52), Way (Alcock 90), Murtagh, Schofield (Owusu 15), Tomlin, Warne.
Subs Not Used: Wagenaar, McCollin.
Booked: Downes, Peltier, Warne, Forbes.
Goals: Owusu 62.
Leeds: Ankergren, Richardson, Huntington, Marques, Sheehan, Snodgrass (Douglas 73), Howson (Delph 86), Prutton, Robinson (Showunmi 73), Beckford, Becchio.
Subs Not Used: Lucas, Telfer.
Booked: Snodgrass, Becchio, Huntington, Beckford.
Goals: Becchio 1.
Att: 6,580.
Ref: Dean Whitestone (Northamptonshire).
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