Argentine Marcos Riquelme put the visitors ahead after 12 minutes but Cristian Alessandrini equalised 24 minutes into the second half for the home side.
The draw, however, was enough to lift Bolivar onto 44 points, four ahead of arch rivals The Strongest with just one round of the season remaining.
The win in the Clausura - one of two league titles decided each season - came six months after Bolivar won the Apertura championship.
(Reporting by Andrew Downie, editing by Nick Mulvenney)
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