Baseball season over, NY Yankee Alex Rodriguez has been enjoying some downtime in Miami this week.

And, all alone and with GF Kate Hudson nowhere to be seen, A-Rod spent some time at the gym and he met up with some ''lady friends.''

A-Rod and a pal had lunch with the two mystery blondes.

And then they were both spotted at a party he held at his home later in the night.

Word of warning Kate...when the cat's away, the mice will play.

See more pictures of A-Rod relaxing post-season in the gallery below...