Ramsey has been out of action since Boxing Day with a thigh problem while Nottingham Forest's Sunderland loanee Vaughan is missing with a knee injury.
In their absence, Chris Coleman has opted to call up uncapped Manchester City midfielder Emyr Huws - on loan at Birmingham City - while the Wales manager is also hopeful Real Madrid's Gareth Bale will feature in the clash.
"He has had a great start at Real Madrid, with plenty of goals and assists. He is adapting well to living in a foreign country and I think he is doing great," Coleman said.
"We only have a limited number of preparation matches, so it is important that he is with us, but I will monitor the situation."
"It is all about us really. We could no nothing about the teams that were drawn out, but it is down to us to get a good start. Looking at the way that the fixtures have come-out, we have that chance," he said.
"Until we qualify, this isn't a 'Golden Generation' - it will only be that when we qualify. Here is another chance and we must take it, but we need all these players available at one time.
"Looking at the group, we have a very good chance. We know all about Belgium and we also know that Bosnia-Herzegovina will be strong. OK, Andorra are looked upon as the minnows, but even they always have a physical presence in a game and can be difficult to break down."
Goalkeepers: Wayne Hennessey (Crystal Palace), Boaz Myhill (West Bromwich Albion), Owain Fon Williams (Tranmere Rovers)
Forwards: Gareth Bale (Real Madrid), Simon Church (Charlton Athletic), Jermaine Easter (Millwall), Hal Robson-Kanu (Reading), Sam Vokes (Burnley)
