The Seagulls dominated the opening quarter and enjoyed chance after chance only to be rocked by Scott Dann's 24th-minute header from Danny Murphy's corner, the centre-back's third goal of the season.
Brighton were again wasteful towards the end of the first half, but finally hit the back of the net from the penalty spot shortly before the hour mark.
Rovers protested furiously after Marcus Olsson was penalised for handball from Vicente's cross but the Spaniard kept his cool to drill home from the spot for his second goal in as many games.
It was the second 1-1 draw between Albion and Rovers in the space of three weeks, coming after David Lopez's last-gasp penalty rescued a point at Ewood Park.
Michael Appleton's Rovers had not conceded a single goal in three successive wins since that late draw and as well as conceding here on the south coast, hot-shot striker Jordan Rhodes failed to score for the first time in seven games.
And with both Middlesbrough and Hull winning, the draw did little for both sides' play-off hopes as they slipped further adrift of the top six.