Put first 3 ingredients in a large pitcher, and add wine. Stir gently to dissolve sugar. Cover with plastic wrap, and chill 2 hours.
Stir mixture again. Pour through a cheesecloth-lined sieve into a large bowl or another pitcher. Reserve 6 peach and 6 lime slices; discard the rest. Pour sangria into ice-filled glasses. Garnish with reserved peach and lime slices.