Both clubs have denied any wrongdoing and said they will fully cooperate with the investigation.
Spanish league president Javier Tebas in June 2013 included the match in a list of nine games that the league was investigating for possible match-fixing.
If the investigation does uncover match-fixing, the case will be brought to a judge.
Spain classes match-fixing as a crime and can lead to prison sentences for individuals involved and a club to be banned from competitions.
Meanwhile, the Times of India newspaper has also reported that police in Bangalore have busted a cricket betting syndicate with the arrest of four bookmakers from R T Nagar.
Phone call records from the four bookmakers revealed that they were in touch with punters across India as well as their counterparts in Dubai.
Police seized a number of items from an apartment in Sultanpalya such as money, 24 mobile phones and a cash-counting machine. Police are also investigating links to any match-fixing angles in the Champions Twenty20 League club competition.