LONDON, July 13 (Reuters) - Euroepan shares briefly turned positive in midday trade on Monday after hitting an 11-week low as U.S. stock index futures cut early losses, while energy shares gained following a rebound in crude oil prices.

At 1107 GMT, the FTSEurofirst 300 index of top European shares was down 0.02 percent at 814.10 points after touching 805.93, the lowest since late April.

Energy stocks tracked crude oil prices CLc1, which rose after dropping earlier in the session. BP (BP.L: Quote, Profile, Research), Royal Dutch Shell (RDSb.L: Quote, Profile, Research), BG Group (BG.L: Quote, Profile, Research), Tullow Oil (TLW.L: Quote, Profile, Research), Total (TOTF.PA: Quote, Profile, Research) and StatoilHydro (STL.OL: Quote, Profile, Research) were up 0.8-1.5 percent.

Futures for the Dow Jones industrial average DJc1, the Nasdaq 100 NDc1 and the S&P 500 SPc1 share indexes were up 0.1-0.2 percent. (Reporting by Atul Prakash)