Roy Hodgson's side thrashed the minnows, ranked 207th in the world, on Friday night to keep them within touching distance of current Group H leaders Montenegro, currently two points ahead.
England would go top with victory over Montenegro in a crucial meeting in Podgorica on Tuesday night and take an important step towards sealing a place at the 2014 World Cup in Brazil.
Bevington hopes the comfortable win over San Marino will provide the springboard for future success.
He told Sky Sports: "While we all accept and understand the ranking of San Marino, the game was still there to be won and thankfully we went about it very well and scored some very good goals in the midst.
"Hopefully it gives us a good platform to build on going forward."
Bevington feels those associated with San Marino will have enjoyed Friday night's clash, staged in the country's 7,000-seater stadium, despite the result.
He added: "It was also a good environment to be in. The San Marino federation and their fans, it was a great night for them in so far as hosting England.
"They made us feel very welcome and we appreciate the hospitality that we've had while we've been here."