In a statement, a court said a judge in Huesca in northern Spain had ruled both could be freed if they posted bail of €100,000 ($111,000) each.
The four other suspects who were also questioned by the judge on Thursday were released on bail pending the investigation.
They include the president of SD Huesca, a football club that climbed into top division La Liga this season before being relegated again.
They were all detained in a police operation launched on Tuesday over alleged match-fixing during this season and the 2017-2018 campaign.
Among them were several games played by Real Valladolid, a club majority-owned by former Brazil striker Ronaldo since September.
Bravo, 38, is a former Real Madrid player.
The suspects are accused of match-fixing, belonging to a criminal gang and money laundering, police said.