Contepomi is joined in the backs by Chris Whitaker, Shane Horgan, Jonathan Sexton, Rob Kearney and Luke Fitzgerald who all impressed during last weekend's 41-11 European victory over London Wasps.
Promising backs Felix Jones, Fergus McFadden and Eoin O'Malley are all named in the initial squad, which is expected to be trimmed down to a starting line-up on Thursday afternoon.
Brian O'Driscoll (knee) and team captain Leo Cullen (collarbone) both miss out through injury.
The quintet have been named in the squad alongside the likes of CJ Van Der Linde, Rocky Elsom, Bernard Jackman, Malcolm O'Kelly, Shane Jennings and Jamie Heaslip for the visit to the home of Partick Thistle FC.
LEINSTER Squad (v Glasgow Warriors): Backs (13) - Chris Keane, Chris Whitaker, Jonathan Sexton, Simon Keogh, Fergus McFadden, Felipe Contepomi, Luke Fitzgerald, Eoin O'Malley, Gary Brown, Shane Horgan, Felix Jones, Girvan Dempsey, Rob Kearney.
Forwards (18) - Cian Healy, Ronan McCormack, Stan Wright, Brian Blaney, John Fogarty, Bernard Jackman, Stephen Knoop, CJ Van Der Linde, Trevor Hogan, Cameron Jowitt, Malcolm O'Kelly, Devin Toner, Rocky Elsom, Stephen Keogh, Shane Jennings, Sean O'Brien, Jamie Heaslip, Kevin McLaughlin.