One monastery which is most hospitable here is the monastery of the Exaltation of the Holy Cross in Thebes. I have been extremely blessed to have met a couple of the sisters and their Elder in the U.S., and enjoyed visiting the monastery for the first time last year. The sisters have been seperated now into a few monasteries by the Bishop, so I didn't see my dear sister friend, but spoke to her on the Gerontissa's mobile phone, with her blessing, ofcourse. The sisters are young, educated, and come from many different backgrounds and countries. Some are converts to Orthodoxy. Since a few of them are American, they are most friendly in the open manner which we Americans are. This comes as a bit of a pleasant shock when you have spent some time in Athens, where people have become increasingly reserved and very unfriendly towards strangers. The nuns are hospitable too, and invited us to eat with them.
The location is most relaxing...up on a mountain--with fresh, light and cool mountain breezes and shady trees...something which is a most pleasant respite from the heat of southern Greece in the summer and early Autumn months.
I have visited many other monasteries in various parts of Greece including Chios, which is practically a second home to us, because it is where my husband's family was from, but, sadly, so many have only a few older monks and/or nuns around anymore, though they are worth the visit since the locations are always breathtaking, and a few of them are a thousand years old and quite historic, such as 'Nea Moni' (new monastery, built in the mid eleventh century by the Byzantine Emperor Constantine IX Monomachos and his wife.)
Alice, this is one monastery that is on my list of places to visit. I contacted them by e-mail a couple of years ago because I was interested in their organic garden. I have also watched a documentary on TV about the nuns and their monastery.