Gallardon described Madrid as 'the city that received the most praise and the least criticism' in the report.
'We have the most positive elements to strengthen our bid, the substantial elements that should lead IOC members to decide,' he said.
Spain's Secretary of State of Sports, Jaime Lissavetzky, vowed to clear up confusion around Spain's anti-doping legislation.
'At the time of the visit, it was unclear whether Spanish anti-doping legislation complied with the WADA code. It is important that this issue is resolved,' the IOC commission's report said.
The government of socialist Prime Minister Jose Luis Rodriguez Zapatero issued a decree with less restrictive rules. It no longer forced sportsmen and -women to be permanently available for testing and restricted out-of-competition testing between 11 p.m. and 8 a.m.
Lissavetzky stressed Wednesday that the Spanish government would be 'willing to modify' legislation if it is deemed not to be in accordance with WADA requirements.
The report left a sweet-and-sour flavour in bid officials.
'Sweet because they have seen that our project is good, sour because we have not been good at explaining it,' said bid CEO Mercedes Coghen. 'We are not good communicators.'