Hello,

They have no official office, but they do have a travel agency partner here (they sent me this information by e-mail):

Space Travel

Villa 2, 45 Matar Al Qadeem
D’ring Road
Doha

Tel:
4227350
4227351

Although I bought tickets through their Online service (www.flydubai.com)

If you reserve as early as 20 days before your trip, you can get a round trip ticket (Doha-Dubai-Doha) for 365 QAR only!

Truly amazing prices...