Both players were capped under previous managers but Kenny did not select them for his opening games in charge last month, the 1-1 draw with Bulgaria and 1-0 defeat to Finland in the Nations League.
Southampton striker Michael Obafemi is again left out, as is Milwall’s Troy Parrott, who recently sustained an ankle injury.
Burnley midfielder Robbie Brady is included despite missing last weekend’s Premier League defeat to Southampton with a rib injury.
The squad will assemble in Dublin on Sunday and train at the FAI’s National Training Centre in Abbotstown before flying to Slovakia on Tuesday.
It was confirmed today that despite a looming ban on all sporting activity in Slovakia from this Thursday, the game in Bratislava will go ahead as planned.
Darren Randolph (West Ham United), Caoimhin Kelleher (Liverpool), Mark Travers (Bournemouth).
Seamus Coleman (Everton), Matt Doherty (Tottenham Hotspur), Enda Stevens (Sheffield United), Darragh Lenihan (Blackburn Rovers), Shane Duffy (Celtic, on loan from Brighton & Hove Albion), John Egan (Sheffield United), Derrick Williams (Blackburn Rovers).
Conor Hourihane (Aston Villa), James McCarthy (Crystal Palace), Harry Arter (Nottingham Forest), Jeff Hendrick (Newcastle United), Alan Browne (Preston North End), Jayson Molumby (Brighton & Hove Albion), Jack Byrne (Shamrock Rovers), Robbie Brady (Burnley).
Callum Robinson (West Bromwich Albion), Callum O’Dowda (Bristol City), James McClean (Stoke City), Aaron Connolly (Brighton & Hove Albion), David McGoldrick (Sheffield United), Adam Idah (Norwich City), Shane Long (Southampton).