Joe Ledley is confident Wales have "adapted" from the side beaten twice by Serbia in their previous World Cup qualifying campaign.
Serbia thrashed Wales 6-1 in September 2012 and completed the double over them a year later with a 3-0 victory in qualifying for the 2014 World Cup.
Those games were the real low points of manager Chris Coleman's five-year reign, but Wales recovered from those heavy defeats to make the semi-finals of Euro 2016 in France last summer.
"We know they're a great team, we've played them a few times and lost before," Ledley said.
"But we've moved on from those results, we've proven how well we've adapted from those defeats.
"We had a fantastic time in the Euros and [have] shown how far we've come. If we carry on doing what we're doing then hopefully the results will come."
Wales are unbeaten in World Cup qualifying following their win over Moldova in their opening game and back-to-back October draws against Austria and Georgia.
But Serbia have stolen a march at the top of Group D with their 3-2 victory over Austria last month taking them two points clear of Coleman's side.
"We can't afford to let them get away from us any further," Ledley said.
"They are doing well in the competition at the moment and we're still undefeated, so we need to be on the front foot.
"The Euros are over now and our concentration is on the World Cup. That's what we've got to aim for, it is down to us to get a result."