Egypt won the Quidditch World Cup in 2002, beating the Bulgarian national side when their Seeker, Rawya Zaghloul, was able to catch the Snitch before Viktor Krum (the famous Bulgarian Seeker) was able to get to it (Pm:Quidditch).
Although Hassan Mostafa, Chairwizard of the International Association of Quidditch in 1994 (GF8), from Egypt and their national Quidditch side was in the finals of the 2002 Quidditch World Cup (Pm:Quidditch), there are no Quidditch or other wizard sports teams listed in their Wikipedia entry (Wikipedia).
Lexicon list of World Quidditch Teams
From the Web
Writing by J.K. Rowling on Pottermore:
Pottermore enhanced reading experience: Quidditch World Cup
Screenshots of the original Daily Prophet coverage of the 2014 Quidditch World Cup on Pottermore: Imgur archive
Harry Potter Wiki: Egyptian National Quidditch Team