Silva had recently admitted he felt like a "supporting actor" with Spain after struggling to claim a starting berth in Vicente del Bosque's side over the last year, but the Manchester City midfielder began against Scotland and made the most of his chance.
He opened the scoring 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."
However, with fellow World Cup winners Andres Iniesta and Xabi Alonso not involved against Scotland, the former Valencia midfielder will know he still has a fight on his hands to tie down a regular place in Del Bosque's first XI.
For the coach though, having numerous options for midfield is a major bonus.
Del Bosque said: "We have many alternatives, which on one hand is very good for all the seasons are very long and we hope that everyone arrives in the best condition for the European Championships."
Del Bosque is also well-stocked in attack, with the prolific Villa scoring his 50th goal for his country
and the likes of Fernando Llorente and Alvaro Negredo having proven themselves able back-ups.
Spain also have Fernando Torres, although the Chelsea striker, who has been struggling for form, did not manage to get off the bench last night.
When asked about that, Del Bosque said: "It's very easy to understand; it's difficult to play everyone.
"Only 11 can start and you can only make three changes. Torres played the other day and in this match we opted for a shorter striker, such as Villa, against two very big centre-backs. It worked well."