I have actually just read a Greek article stating that even though the Covid-19 situation is unfortunately not really getting better in Italy, the Serie A season might resume in the next month, according to Gazzetta dello Sport.
There seems to be an agreement between the clubs to resume play in between May 24th and June 7th. Trainings will start around May 4th.
If that really works out, the season finale will be in July.
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There is one month to go till the scheduled day to begin training sessions for clubs and will the plan be real we don't know at the moment. It will depend on the Italy's epidemic progress next one month. From reports of ISS, the new infected cases have still been in the downwards trend and the same for severe patients who need to be treated with ICUs.
Looks good for now and we have reasons to hope that news will eventually turn to be real and we can enjoy matches in May. The race to Scudetto between Juventus, Lazio, and Inter Milan will keep going. The fight for Champions League and Europa League slots will be between Atalanta (they still do their jobs well in CL this season), AS Roma and AC Milan.