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Atalanta managed 32 shots on goal but could not find a way past Empoli keeper Bartlomiej Dragowski as they were held 0-0 at home.
Even without leading scorer Duvan Zapata through suspension, Atalanta earned a crucial point in a goalless draw with Inter Milan.
Atalanta blasted four goals in the opening 15 minutes against Bologna to move within a point of the top four after a 4-1 win in Serie A on Thursday.
A livid Gasperini reported afterwards that, as he walked down the tunnel, Sampdoria club secretary Massimo Ienca was in his way.
Atalanta coach Gian Piero Gasperini denied slapping an official from opponents Sampdoria in the tunnel after he was sent off during his side's 2-1 w
Federico Chiesa celebrated his 100th appearance for Fiorentina by inspiring them to come from two goals down to draw 3-3 at home to Atalanta.
Two goals from Krzysztof Piatek helped AC Milan come from behind to beat Atalanta 3-1 away in Serie A and move four points clear in fourth place.
Dark horses Atalanta moved within one point of Serie A's Champions League places by beating Cagliari 1-0 on Monday.
Juventus' hopes of winning the treble have been ended after they were knocked out of the Coppa Italia 3-0 by Atalanta.