The Azzurri's front pairing of Giuseppe Rossi and Antonio Cassano hit it off immediately with the pint-sized forwards scoring in the 21st and 39th minutes respecitvely with similar angled drives to give Italy a cushion at halftime.
Fourth-placed Estonia, who had taken four points off Serbia in their past two games, rarely threatened as an exciting Italy side scored a well-taken third goal after 68 minutes through substitute Giampaolo Pazzini.
Italy's fifth win in their six competitive matches under coach Cesare Prandelli put them on 16 points ahead of second-placed Slovenia and eight points clear of Serbia in third with both those teams having played a game more.
"We kept our concentration and played (all) the football," coach Cesare Prandelli told RAI television.
"We're not there yet but Italy are growing in confidence. We can get even better though by being more daring and keeping the ball on the ground to make better use of our quality players."
"We can help (the situation) by showing our commitment and enthusiasm and by transmitting the right values," he said.
On a cool night in Modena, Italy's diminutive strike duo began the game on fire, pulling the Estonia defence around with their pace and clever movement.
After 14 minutes, Rossi sent Cassano through with an astute pass and only goalkeeper Sergei Pareiko's feet stopped the forward's shot finding the net.
Five minutes later and Cassano returned the compliment only for Rossi to be thwarted by Pareiko's body.
