Roberto Di Matteo was in Rome on Saturday for talks with Lazio, according to Sky sources.
Simone Verdi ensured Carpi had to be dragged back into Serie B kicking and screaming as they secured a 2-1 victory at Udinese.
Francesco Totti made his 600th Serie A appearance as Roma moved up to second spot with a 3-0 win over Chievo.
Juventus celebrated winning the Serie A title for the fifth year in a row by beating relegation-threatened Carpi 2-0.
Juventus are closing in on a fifth consecutive Serie A title after emerging victorious from a gritty game with Fiorentina.
Simone Inzaghi has been appointed as Lazio head coach after Stefano Pioli was sacked following Sunday's derby defeat to Roma.
Juventus have moved a step closer to a record-equalling fifth successive Serie A title after their closest rivals Napoli lost at Udinese.
Gary Neville was sent to the stands as Valencia lost to Athletic Bilbao in the Europa League, while Sparta Prague stunned Lazio.
Gonzalo Higuain's penalty saw Napoli squeeze past Palermo 1-0 and maintain their pursuit of the Serie A title.
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Gary Neville's Valencia lost 1-0 at Athletic Bilbao, while Shakhtar Donetsk, Villarreal and Fenerbahce also won in the Europa League.
Juventus restored their three-point advantage at the top of Serie A with a 2-0 win at Atalanta on Sunday.
Fiorentina played out a 1-1 draw with Napoli, while Sassuolo beat Lazio 2-0 in Serie A on Monday.
Gary Neville's Valencia smashed a Europa League record with the biggest aggregate win in the competition's history.
Felipe Anderson's agent has backed up claims that Manchester United have not been in contact about the Lazio winger.
Lazio have dismissed reports they have agreed to sell Brazilian playmaker Felipe Anderson to Manchester United in the summer.
Roma routed Palermo without Francesco Totti on Sunday, while Fiorentina kept pace in the Serie A title race.
Gary Neville enjoyed the perfect birthday as Valencia thrashed Rapid Vienna 6-0 their Europa League last-32 tie at the Mestalla.
Fiorentina had Matias Fernandez sent off as they drew 1-1 with Bologna in Serie A on Saturday.
Crystal Palace are bottom of the Europe-wide form table - and only one Premier League team makes the top 10.