U.S. stocks turned positive on Monday, sending indexes close to session highs, as financials led a late advance on hopes that possible fallout for U.S. banks from Dubai's debt woes will be contained.

* The Dow Jones industrial average <.DJI> gained 36.88 points, or 0.36 percent, to 10,346.80. The Standard & Poor's 500 Index <.SPX> gained 3.76 points, or 0.34 percent, to 1,095.25. The Nasdaq Composite Index <.IXIC> gained 4.54 points, or 0.21 percent, to 2,142.98.

(Reporting by Ellis Mnyandu; Editing by Jan Paschal)