Florian Thauvin put Udinese ahead after 22 minutes but Alessio Romagnoli earned the draw ten minutes later.
AC Milan plunged deeper into crisis on Sunday after Pedro's penalty in the eighth minute of stoppage time condemned the seven-time European champions to a 2-1 home defeat to Lazio
Napoli currently lead Inter Milan by two points, but the latter have a game in hand.
Manchester United, unbeaten in eight games in the tournament, finished in third place and Tottenham came fourth, ensuring the Premier League clubs both avoided the Europa League play-off round.
Lazio on Tuesday sacked the club doctor responsible for performing penis surgery on their fascist-sympathising falconer, who was dismissed the day before for publishing the results of the operation online
Roma triumphed 2-0 against local rivals Lazio on Sunday to give Claudio Ranieri his biggest win since the veteran coach took charge of his boyhood club for the third time.
Atalanta kept hold of top spot in Serie A on Saturday after escaping Lazio with a 1-1 draw which kept Inter Milan at bay but ended their club-record league winning streak at 11 matches.
Napoli conceded top spot in Serie A to red-hot Atalanta on Sunday after falling to a 1-0 home defeat to Lazio and dropping to two points from the summit.
Napoli were knocked out of the Italian Cup by Lazio on Thursday after Tijjani Noslin fired a hat-trick to hand the Serie A leaders a 3-1 last-16 defeat in Rome.
Atalanta take on AC Milan on Friday night with Serie A's top spot in their sights.
Athletic Bilbao cruised to a 3-0 win over Elfsborg on Thursday to move level on points with Lazio at the top of the Europa League table, while Chelsea made it four wins from four in the Conference League.
Lazio continued their bid to crack Serie A's top four with a 2-1 win on Monday over struggling Cagliari, who finished the match in Rome with nine men.
Lazio romped to a 5-1 away win at Como in Serie A on Thursday while city rivals Roma bought some time for under-fire coach Ivan Juric with a 1-0 win over Torino after being booed by their own fans
Juventus moved level on points with Serie A leaders Napoli on Saturday after squeezing past 10-man Lazio 1-0
The second half was delayed by seven minutes following the latest incident between supporters as trouble has marked this week's cup ties.
Simone Inzaghi's team will care little about the result as the Scudetto was sealed weeks ago.
Juventus are heavy favourites to reach the Italian Cup final after beating Lazio 2-0 in Tuesday's semi-final first leg in Turin.
Bayern kept their slim hopes of silverware this season alive while likely giving outgoing coach Thomas Tuchel a stay of execution until the quarter-finals in April.