The unseeded Indo-American pair edged past the Belgium- Luxembourg combo 7-5 6-4 in the opening round of the Euro 660,375 grass court tournament.
Darcis and Muller squandered many a chances in the one hour and 11 minutes match while Paes and Lipksy were rewarded for not missing theirs.
After breaking each other once, the pairs were locked 5-5 in the opening set when Paes and Lipksy got another break in the 11th game on the deciding point.
Darcis and Muller put pressure on their opponents to grab initiative in the second set but Paes and Lipksy escaped unscathed, saving a deciding point in the second game.
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Darcis and Muller finished their service games quickly, without losing many points, and pushed Paes and Lipsky to a deciding point again but the break remained elusive for them.
They served out the match in the 10th game without any fuss.