*Bond funds boosted by stocks' slide

*Domestic equity funds saw almost $600 million in outflows

BOSTON, July 8 (Reuters) - Investors nearly doubled the cash they poured into U.S.-based, fixed-income mutual funds last week but retreated from domestic stock funds following a drop in U.S. consumer confidence.

Bond funds saw estimated inflows of $8.4 billion in the week ended July 1, up from $4.3 billion the week before, with taxable bonds largely accounting for the surge in cash, according to the Investment Company Institute, a trade body.

At the same time, investors pulled $596 million out of domestic equity funds. It was the second week in a row U.S. stock funds experienced outflows.

A drop in the Conference Board's June U.S. consumer confidence index caused both the Dow Jones industrial average .DJI and the Standard's & Poor's 500 Index .SPX to fall by about 1 percent on June 30.

Foreign equity funds rebounded with $200 million in inflows last week, after investors took $136 million out of the funds the week before.

Overall inflows to long-term mutual funds last week were $8.3 billion, more than double their values the previous week, buoyed by the activity in bond funds and hybrid funds, which invest in both stock and fixed-income securities.

Hybrid funds had estimated inflows of $325 million, up from $193 million the week before. The Investment Company Institute estimates comprise data from more than 95 percent of industry assets and are adjusted to reflect industry totals. (Reporting by Erin Kutz, editing by Leslie Gevirtz)