The sanction is a heavy blow to Monaco, who are expected to challenge defending champions Paris Saint-Germain, after marking their return to the top-flight with several highly-priced signings, including that of Colombian striker Radamel Falcao from Atletico Madrid.
Porto will make a massive profit on both, with Moutinho costing 11 million euros when he signed from Sporting in July 2010. Rodriguez signed the same month from Argentine club Banfield for 5.1 million euros.
AS Monaco are interested in signing former England captain David Beckham, the second-tier French club's chief executive Tor-Kristian Karlsen told local media on Friday.
Park Chu-Young made history on Saturday when he became the first South Korean player to score in La Liga, helping Celta Vigo to a 2-1 win over Getafe.
South Korea on Wednesday recalled Arsenal's Park Chu-Young for next month's World Cup qualifier away at Uzbekistan, while Bolton winger Lee Chung-Yong was included after recovering from long-term injury.
Beleaguered Premier League side Arsenal said on Tuesday that they had agreed on a deal to sign striker Park Chu-Young from French club AS Monaco.