Tivoli UK /ˈtɪ.və.lɪ/US /ˈtɪ.və.li/ noun2 •An ancient city in the province of Rome, Lazio, Italy. •A game resembling bagatelle, played on a special oblong board or table with a curved upper end, a set of numbered compartments at the lower end, side alleys, and the surface studded with pins and sometimes furnished with numbered depressions or cups.