Antonio Conte's charges scored three points without any problems.
Inter beat Genoa and overtook Atalanta in Serie A standings.
In the next round, Genoa Genoa will play at a visit to Sassuolo, and Inter Milan will play a home match against Napoli, Napoli.
Match review:.
Genoa - Inter 0: 3 Goals: Lukaku, 34, 90 + 3, Sanchez, 83 Genoa: Perin - Zapata, Romero, Goldaniga - Ankersen (Guillone, 76), Rovella (Destro, 76), Berami (Chenet, 59),.
Inter: Handanovic - Shkriniar (D'Ambrosio, 64), Ranocchia, Godin - Moses (Candreva, 84), Brozovic, Gagliardini, Biragi (Young, 84) - Eriksen (Borja Valero, 64) - Lukaku, Martinez (Sanchez, 64).
Warnings: Criscito, Romero - Gagliardini, Ranocchia, Handanovic.