Corini replaced Domenico di Carlo earlier this week, although it seemed like he may have to settle for a point in his first match when Samp midfielder Enzo Maresca scored direct from a free-kick after Cyril Thereau had given the Flying Donkeys a half-time lead.
But Di Michele tried his luck from distance and Sampdoria keeper Sergio Romero made a hash of his attempt to keep it out, gifting Chievo victory three minutes from time.
Gian Piero Gasperini made an emotional return to the Stadio Luigi Ferraris in Palermo's 1-1 draw at former club Genoa.
Gasperini had led Il Grifone into the Europa League in 2009, spending over four years at the club, and he looked to be on course for three points on Saturday night when Luigi Giorgi put Palermo ahead in the 14th minute.
Marco Borriello rescued a share of the spoils for Genoa seven minutes after the interval.
Menwhile, former Rossoblu player Ivo Pulga replaced Massimo Ficcadenti ahead of Cagliari's trip to Torino on Sunday, and he could barely contain his excitement.
"It's always been my dream to come back and work here and the fact that my dream has come true fills me with joy," he said at his unveiling.
Roma have beaten Atalanta at the Stadio Olimpico six times in a row and Giallorossi boss Zdenek Zeman is under pressure to make it seven after last weekend's heavy defeat at leaders Juventus.
The defending champions, meanwhile, travel to face Antonio Conte's former club, Siena.
The ex-Juve midfielder is awaiting the outcome of his appeal against a 10-month ban for failure to report match-fixing while in charge of the Robur.
Bologna's Alberto Gilardino is eager to catch the eye of Italy boss Cesare Prandelli by scoring against his old employers Fiorentina while Napoli look to keep pace with Juve by beating Udineseat the San Paolo.
Lazio visit Pescara, who have won two games on the spin, while Parma are flying away to take on Catania.
Saturday's Serie A Fixtures
Sunday's Serie A Fixtures