The newly promoted Ligue 1 team had plenty of competition for both, but have signed the pair for a combined 70 million euros from the Portuguese champions.
Monaco have also recently been linked with Radamel Falcao, Carlos Tevez and Wayne Rooney among others.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.