Career
He was selected by the National Basketball Association club the Portland Trail Blazers in the first round (23rd overall) of the 2004 National Basketball Association Draft. He is a 2.02 m (6 ft 7 1⁄2 in) tall guard-forward. Monia played briefly for the Portland Trail Blazers and the Sacramento Kings during the 2005-2006 National Basketball Association season, playing 26 games and averaging 3 points per game, in 13 minutes per game.
On February 23, 2006, Monia and Seattle SuperSonics" center Vitaly Potapenko were traded to the Kings in exchange for power forward Brian Skinner (who ended up with the Trail Blazers) in a three-team deal.
Monia saw action in only three games for the Kings and was waived on July 28, 2006, because of his desire to play professionally in the Russian Superleague A for Dynamo Moscow. In June 2010, Monia signed a two-year deal with Khimki.
In June 2012, he extends his contract with Khimki for two more years. On March 6, 2015, he signed a new three-year contract extension with Khimki.