Meghni was born on 16 April 1984 in Paris to Ali and Anna, an Algerian father and a Portuguese mother. His father during an interview spoke about how Mourad had been attracted by football at a very early age and that he used to take him to football stadiums very often notably to encourage his older brother Saïd who preceded him on the football pitches. His father also spoke on how Mourad joined several football training schools at an early age including that of Tursi and FC Nantes in France where he made impressive and swift progress as a budding player. His mother stated during the interview that she had always made it her duty together with her husband to visit Algeria every year to get together with all the family members and friends in the family home of Ouled Hadadj.