Weiss' 29-man selection included Liverpool defender Martin Skrtel, who has not played for the English Premier League side since breaking a metatarsal bone in his right foot three months ago.
Besiktas' Filip Holosko has also been named despite struggling with the after-effects of a broken leg sustained last year, while fellow striker Robert Vittek of Ankaragucu gets the nod after a recent knee injury.
The squad also includes the coach's son and namesake Vladimir Weiss, who spent the latter half of the Premier League season on loan at Bolton from Manchester City.
Squad: Jan Mucha (Legia Warsaw), Dusan Kuciak (Vaslui), Lubos Kamenar (Nantes), Dusan Pernis (Dundee United); Peter Pekarik (Wolfsburg), Martin Petras (Cesena), Martin Skrtel (Liverpool), Lubomir Michalik (Leeds), Jan Durica (Hannover), Radoslav Zabavnik (Mainz), Marek Cech (West Brom), Tomas Lubocan (Zenit St Petersburg), Kornel Salate (Slovan Bratislava); Kamil Kopunek (Spartak Trnava), Jan Kozak (Timisoara), Juraj Kucka (Sparta Prague), Miroslav Karhan (Mainz), Marek Sapara (Ankaragucu), Mario Pecalka (Zilina), Stanislav Sestak (Bochum), Marek Hamsik (Napoli), Vladimir Weiss (Manchester City), Miroslav Stoch (Chelsea), Dusan Svento (Salzburg), Zdeno Strba (Xanthi); Erik Jendrisek (Schalke), Robert Vittek (Ankaragucu), Martin Jakubko (Saturn Moscow), Filip Holosko (Besiktas).
*Please note that squad lists only become official after they have been submitted to and announced by FIFA.