He opened the scoring against Scotland in the sixth minute and doubled Spain's lead just before the break before setting up David Villa for his side's final goal in the 3-1 win.
A delighted Silva said in AS: "I'm happy because we've completed a very good qualification phase, winning every game. They were two difficult games (against Czech Republic and Scotland) and they've come out very well.
"Personally I'm very happy for the two goals I've scored and because things are going well for me both at club level as well as the national team. I hope to be able to continue along this line.
"I'm very happy about my game and I hope to carry on like this. I'm only focusing on playing. I'm calm and very happy."