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All five goals came in a second-half riot, with Mateo Retegui scoring twice, while Moise Kean, Giacomo Raspadori and Alessandro Bastoni were also on target in a win that leaves the Azzurri still six points adrift of Group I leader Norway but with a game in hand.

Italy dominated the first half, managing 17 shots to Estonia's zero, but it was guilty of some wasteful finishing, with Kean blazing over on the half-volley from 10 yards.

Mateo Politano missed with a thumping header and the same man crossed for Retegui right at the end of the half, but his header was tipped onto the crossbar and over by Karl Hein.

Sandro Tonali saw a sweetly-hit volley saved by Hein before Kean finally nodded in the opener after Retegui flicked on Federico Dimarco's cross, and the Fiorentina man then bent another effort against the post just before the hour mark.

Mattia Zaccagni saw a point-blank header saved by Hein and curled wide of the right post from the edge of the area before Retegui drilled into the bottom left-corner from inside the D to double Italy's lead after 69 minutes.

There was no way back for the visitor when Raspadori dived to head Politano's right-wing cross into the ground and into the left-hand side of the goal.

Retegui got his second when he glanced home Andrea Cambiaso's centre from the left and Bastoni made it a real rout with a thumping header in injury time.