"The (stake increase) deal was pretty symbolic but the idea is to see whether we can do something together, we would be happy to do so," Diego Della Valle said at an online conference, without elaborating.

Last week LVMH, led by French billionaire Bernard Arnault, said it would buy a 6.8% stake from Tod's founder Della Valle, raising its total holding in the company to 10%.

(Reporting by Elisa Anzolin, writing by Giulia Segreti, ediitng by Silvia Aloisi)