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In a game that lacked many clear cut chances, both sides will have been frustrated that they will not have been able to take three points in the battle against relegation.
Maranhão flashed a shot across goal for Bahia in the first-half, while Rodriguinho went close for America at the other end.
After the break, Souza and Paulo Miranda headed wide for the hosts, before Miranda fired over from close range as Bahia turned up the heat.
In the end, however, it finished 0-0. The result means Bahia remain in 16th place, behind Gremio by virtue of having won fewer games, while America are still rooted to the bottom of the table.