However, Inter ran riot in the dying minutes as Lukaku found the net from substitute Hakimi's pass, two minutes before Danilo D'Ambrosio scored the winner with a header.
Bayern looked more active but wasn't able to create clear-cut chances against a well-positioned Hoffenheim defence.
"We faced a team that attacked with many players and it was a different match compared to the one against Sampdoria. We wanted to keep the line tight, put pressure on the central players and exploit the one-on-one in attack, but we weren't always able to find solutions, after all we were playing against a solid team and we knew we would have difficulties," said Pirlo.
"Our endeavor is to ensure that our sporting facilities can compare favorably with the top addresses around the world. We are in the process of developing other sporting facilities throughout the country," he said in a statement issued after the opening ceremony.
Elsewhere on Sunday, Goias drew 2-2 at Ceara and Atletico Goianiense were held to a 1-1 home draw by Botafogo. Enditem
Head coach Li Tie and his team will assemble for a five-day training camp in Shanghai starting from October 4. Star striker Wu Lei, who plays for Espanol in Spain, will not participate in the camp.
Lautaro Martinez came off the bench to add the fifth for Inter with a rocket in the 72nd minute, and Caprari scored a consolation goal for Benevento four minutes later.
The 24-year-old Sherif, who ranks 172nd in the world, has become the first Egyptian woman to present at a Grand Slam main draw, while Pliskova, 27, is bidding for her first major title in her 33rd Grand Slam appearance.
Atalanta claimed a one-sided win against Lazio, as Papu Gomez took the stage with a brace, helping the Dea enjoy a 4-1 victory.
Francisco Trincao, Miralem Pjanic and Pedri will all have to wait their turn on the bench, while whether or not Dembele is included will give an indication over the French international's future.
Ranking fourth in the preliminary heats of the women's 400m individual medley, Ye didn't advance to that final, as she failed to make the top eight in a round of physical tests, a new requirement for this year's championships.