The offer price of 9.08 euros per share represents a premium of about 60% to Rovio's close of trading on Jan. 19.
Rovio did not immediately respond to a request for comment.
Playtika's offer is roughly 40 million euros more than its previous offer in November.
Shares of Playtika were down 4.7%.
The latest offer comes as the gaming industry is going through a round of consolidation. Last year, Microsoft offered to buy Activision Blizzard for $69 billion, while Sony Interactive Entertainment said it would acquire Bungie Inc, the original creator of the "Halo" videogame, in a deal valued at $3.6 billion.
($1 = 0.9261 euros)
(Reporting by Tiyashi Datta in Bengaluru; Editing by Maju Samuel)