Manchester City are actively pursuing Fiorentina striker Dusan Vlahovic ahead of the January transfer window.
However, a deal never materialised for Kane while Ronaldo snubbed their advances for a long-awaited reunion at Manchester United.
This has left the Cityzens with just one specialist striker in Gabriel Jesus, who has regularly played on the right wing this season.
The club are likely to pursue a new marksman next year, and Tuttosport claims that they could make a winter approach for Vlahovic.
The Serbian has rejected a new deal at La Viola. The Serie A outfit are open to selling him with his contract expiring in June 2023.
They wanted around €70 million for his services over the summer, but could accept a lesser sum at the beginning of the year.
Tottenham Hotspur were linked with the 21-year-old earlier this summer, but appear unlikely to move for him unless Kane heads for the exit door.