Mark,
The Oud is definitely not an istrument played in Greek music. There you can find the bouzouki and the turkish Baglama. Both doesn't sound anything like the Oud.
Oud is one of my favorite instruments. You usually can find the Oud in an Arab music context.
However, if you're interested is something more "communicative" and captivating I would recommend either Anouar Brahem or Rabih Abou-Khalil.
A few recommendation of Brahem's CDs: for something more traditional try "Barzakh" or "Askrakan Cafe" (with a haunting Turkish Clarinet); for something more adventerous/world fusion try "Le Pas du Chat Noir" or "Thimar" (w/John Surman & Dave Holland)
Of Abou-Khalil's CD I would recommend ", "Nafas" and "Tarab" for a more traditional recordings and "Between Dusk and Dawn" and "Cactus of Knowledge" for a more Jazzy recordings.
In addition you can try Ahmed Abdul-Malik's sessions that try to combine Arab music and Jazz "Jazz Sahara" and "East Meets West" with some amount of success.
If you're interested (and have a fast internet) - I can send you a track or two to appreciate the sound and the music.
Barak
mswbarak@hotmail.com