Representatives of Virgin Atlantic could be asked to appear before a group of TDs and Senators to discuss their concerns over the possible sale of Aer Lingus.
The airline established by Richard Branson claims the proposed take over by IAG would have an adverse effect on ticket prices, connectivity and quality of service, meaning that Irish consumers would lose out.
VAA is bringing its concerns to the European Commission.
Fianna Fáil's transport spokesman Timmy Dooley wants them to come before the Oireachtas Transport Committee.
Mr Dooley said: "My understanding is that they have deep concerns about a tie-up between Aer Lingus and IAG and the impact it will have on competition from an Irish and European perspective.
"They are seeking some redress from the European Commission.
"It is my intention through the joint Oireachtas Committee to have an invitation extended to Virgin Atlantic to come before the Oireachtas Committee on Transport to outline their concerns."