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The Black Death arrived in Europe from the east. The first part of Europe for the epidemic to break out in was Sicily, the island off southern Italy. So we can probably conclude that Palermo in Sicily was the first European city to become infected with the Black Death, although did not start it.
Black Death spread via major trade routes. Black Death entered Crimea first.
Europe
Italy
1347
The Black Death first struck Europe in 1347. It had been in Asia before that, but there is no record of exactly when or where it first struck.
Midevil europe
China, then it spread to India and outward to Europe.
Black Death forced them to revolt. This lead to major social and economical changes.
Rats to fleas, fleas to humans
The Black Death first broke out in Asia. It devastated both India and Persia before it entered Europe through the Crimea and Italy. It killed people in almost all of Europe and the Middle East.
It started in China, went into India and when the trade ships came into the ports came to Europe.