Former Coventry City forward Robbie Keane scored twice for the Republic Of Ireland in their 4-0 Euro 2012 Qualifier against Estonia in Tallin.
Andrews opened the scoring in the 13th minute with Walters hitting a second in the 67th minute.
Keane, who now plays for LA Galaxy, struck in the 71st minute and then converted an 87th minute penalty to virtually book Ireland's place in Poland and Ukraine next June against an Estonian side who had two players sent off.
Former City forward Andy Morrell scored twice for Wrexham in a 2-2 FA Cup 1st Round tie at Cambridge United.