Ireland have already won their first two games in Group B but will now face a couple of tough tests. On October 8 they travel to Moscow for a confrontation with Russia and four days later they host Slovakia in Dublin.
However, Trapattoni believes that they can take points off both their rivals and has been quoted by Uefa.com as saying, "We go into these qualifiers with six points from six in the opening games of the campaign in September. We performed well against Armenia and Andorra and we will build on these good results in our next games.
"These teams are the top seeds in the group and they will be looking to take three points from us to kick-start their Euro campaigns but we have prepared well and will not make it easy for them as we continue to lay the foundations to qualify for the European Championship finals."
Republic of Ireland squad:
Goalkeepers: Shay Given (Manchester City), Keiren Westwood (Coventry City), Joe Murphy (Scunthorpe United)
Defenders: John O'Shea (Manchester United), Richard Dunne (Aston Villa), Sean St Ledger (Preston North End), Greg Cunningham (Manchester City), Kevin Foley (Wolverhampton Wanderers), Stephen Kelly (Fulham), Paul McShane (Hull City), Darren O'Dea (Ipswich Town), Kevin Kilbane (Hull City)
Midfielders: Keith Andrews (Blackburn Rovers), Glenn Whelan (Stoke City), Darron Gibson (Manchester United), Paul Green (Derby County), Liam Lawrence (Portsmouth), Aiden McGeady (FC Spartak Moscow), Andy Keogh (Cardiff City), Damien Duff (Fulham), Keith Fahey (Birmingham City), Keith Treacy (Preston North End)
Forwards: Robbie Keane (Tottenham Hotspur), Kevin Doyle (Wolverhampton Wanderers), Shane Long (Reading), Cillian Sheridan ( SKA Sofia)