Meilleroux began her career playing for the women's section of amateur football club ÉDS Montluçon in her hometown.

On 9 July 2010, Meilleroux announced that she would be departing Nord Allier Yzeure to join Montpellier.

Meilleroux was penciled in as a starter by coach Sarah M'Barek and made her club debut in the team's second league match of the season; a 2–0 win over Rodez.

Meilleroux missed four matches and returned to the team on 12 February in its 5–0 win over Stade Briochin.

Meilleroux was a regular participant in France's qualifying for UEFA Women's Euro 2009.

With that in mind, coach Bruno Bini included her in the squad for the tournament, where France crashed out in the quarterfinals losing 4–5 on penalties to the Netherlands.