The Nerazzurri needed an added-time equaliser to snatch a point on Tuesday night in their opening match in Group F, which also contains Barcelona and Borussia Dortmund.
Conte wants improvement on their return to the San Siro on Saturday – for what is technically an away game – in what will be the 171st Derby della Madonnina.
“In all of the games we try to put maximum effort and provide and excellent performance and follow our preparations. Sometimes we succeed at this, other times not so much,” Conte told the club website.
“What the guys do put in is a huge commitment. We know that we have a lot of work to do and to get better, this certainly doesn’t scare us.
“The eyes of the world are on this game. All derbies are special and this is no exception. Milan are a great side and we will prepare well as always. We will as always give it our all. We will give 100 per cent.”
Inter have won all three of their league games this season – the only team in Serie A to still boast a 100 per cent record – and have very real ambitions of finally being able to threaten the unprecedented dominance of Juventus.
Conte suggested that perhaps his team were a little complacent in their Champions League draw at home against Slavia Prague in midweek.
“Every game is important and has to be won, but each game has its pitfalls,” he said. “A win is always positive, it boosts morale and confidence and is good for positive energy.
“But it has to come about in the right way, we have to deserve the win. At times, wins mean you take your foot off the gas. We have areas to work on but I am not afraid of the challenge.”
AC Milan go into the clash seventh in the Serie A table after three games of the season, already three points adrift of their rivals.
Rossoneri head coach Marco Giampaolo thinks his side are the underdogs.
🗣 “The players know they have to do everything to win” Dida’s opinion of the derby— AC Milan (@acmilan) September 20, 2019
🗣 Dida: "I giocatori sanno che devono fare di tutto per vincere"
#StrongerTogether #SempreMilan pic.twitter.com/J2dQcTig41
“Defeating Verona was an important step. The team is improving game after game,” he told the club website.
“Our goal is to win (against Inter). It’s important to play well and maintain our vision but at the same time we have to give the fans the results they aspire for.
“We need to be tactically sound. This is certainly one of the most difficult games we can play so we have to be out our very best.
“It is definitely an important game as it always has been. I am confident in my team, this game escapes any kind of prediction.
“I don’t care about being the underdogs. I want the team to do both phases well, I don’t take any media advantage from that point of view.”
Cagliari have avoided punishment after supporters allegedly aimed racist abuse at Inter Milan striker Romelu Lukaku earlier this month.
Former Manchester United player Lukaku appeared to be subjected to monkey chants as he prepared to take – and score – a match-winning penalty in Inter’s 2-1 Serie A victory on September 1 at the Sardegna Arena.
However, following an investigation the Italian Football Federation’s (FIGC) sporting justice panel has ruled that the chants could not be considered discriminatory in terms of their “scale and realisation”.
A statement from Lega Serie A on Tuesday said the panel had therefore decided not to apply sanctions to Cagliari.
Cagliari police told FIGC investigators that “only on the occasion” of Lukaku’s penalty were “chants, shouts and whistles aimed at the opposition athlete as he prepared to take his shot”.
Individual spectators were observed chanting at the Belgian but, because of the volume of the noise emanating from the stand, it was not clear what was being said and so it could not be proven that it was discriminatory.
After the match, Lukaku urged action against racism in football.
The 26-year-old wrote on Instagram: “football is a game to be enjoyed by everyone and we shouldn’t accept any form of discrimination that will put our game in shame. I hope the football federations all over (the) world react strongly on all cases of discrimination.”
Cagliari were, meanwhile, fined 5,000 euros (£4,430) after fans threw bottles onto the Stadio Ennio Tardini pitch during Sunday’s 3-1 league win at Parma.
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Stefano Sensi headed the only goal just before the break as Inter Milan went top of Serie A with a 1-0 win over 10-man Udinese.
The visitors had Rodrigo De Paul sent off in the 35th minute following an off-the-ball incident involving Inter’s Antonio Candreva.
Sensi’s superb effort from Diego Godin’s cross proved enough for the home side who extended their perfect start to the new season to three games.
Maurizio Sarri has a potential injury crisis to contend with after watching his Juventus side hang on for a goalless draw at Fiorentina.
Douglas Costa and Miralem Pjanic limped off during the game and are both doubts for the midweek Champions League trip to Atletico Madrid.
Juve had keeper Wojciech Szczesny to thank for preserving their unbeaten start to the season as he saved well to deny both Dalbert Henrique and Franck Ribery.
Dries Mertens scored once in each half as Napoli eased to a 2-0 win over Sampdoria, who are still searching for their first points of the season after three games.
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