The powerful centre, 27, had been omitted from two previous informal gatherings as former Toulouse boss Noves looks to rejuvenate a squad which exited last year's World Cup following a record defeat by New Zealand.
"We want to build a team who will be able to improve a lot, and not taking players who would not be with us in two or three years," Noves told a news conference.
"We want to make the French people who will support us happy.
"Mathieu Bastareaud's talent is obvious. He's not being left out because of a lack of talent but the true question is whether his profile fits our game plan," Noves said.
Flyhalf Francis Trinh-Duc was also left out but only because he has just resumed training with Montpellier after an injury.
"He knows he is part of our project," said Noves, who picked Jean-Marc Doussain and Jules Plisson. Maxime Machenaud and Morgan Parra are the two scrumhalves.
"Don't expect too brilliant performances from the youngest players," forwards coach Yannick Bru warned.
"But Guy will not throw them all at once on to the field."
"With the right attitude I believe we can get results," said Noves.
France start their Six Nations campaign at the Stade de France against Italy on Feb. 6.
Squad
Forwards: Uini Atonio, Eddy Ben Arous, Andoine Burban, Yacouba Camara, Camille Chat, Damien Chouly, Alessandre Flanquart, Kevin Gourdon, Guilhem Guirado (captain), Paul Jedrasiak, Wenceslas Lauret, Yoann Maestri, Louis Picamoles, Jefferson Poirot, Rabah Slimani, Sebastien Vahaamahina
Backs: Sebastien Bezy, Hugo Bonneval, Jonathan Danty, Jean-Marc Doussain, Alexandre Dumoulin, Benjamin Fall, Gael Fickou, Wesley Fofana, Remi Lamerat, Maxime Machenaud, Maxime Medard, Morgan Parra, Jules Plisson, Scott Spedding, Virimi Vakatawa
(Editing by Ed Osmond)
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