You Do Need power plug adapter while traveling from Italy to Puerto Rico.

Here is Why You Need An Adapter

The outlet and plug type used in Puerto Rico are A and B and in Italy are C, F and L. This is how they look like.

Italy

In Italy, outlets of type C, F and L are in use.

Type C

Type F

Type L

Puerto Rico

In Puerto Rico, outlets of type A and B are in use.

Type A

Type B