The Republic of Ireland women's national team should be paid the same as the men's national team, according to Sinn Féin's spokesperson on sport Chris Andrews.
Earlier this week the Brazilian and English Football Associations announced they had introduced equal pay for male and female international players.
On Wednesday, RTÉ Sport contacted the FAI to inquire if they had plans to follow suit but received no response.
It is just over three years since the women's national team held a press conference in Liberty Hall and boycotted training to highlight their plight, claiming the FAI treated them as 'fifth class citizens', did not compensate them for loss of earnings and even made the players share tracksuits.
Vera Pauw's team - currently top of their European Championships qualifying group - have subsequently seen their conditions improve, but they are still not on an equal footing with Stephen Kenny's squad.
International Aine O'Gorman told RTÉ 2FM's Game On this week that it is frustrating to have to battle for every small step forwards.
"I haven't got that far yet, but I would like to think that all organisations are heading in that direction," she said. "It is a massive step and it is frustrating how much you have to drive and push to get to these landmarks in football and sport."
Dublin Bay South TD Andrews said he would be writing to the FAI seeking the establishment of pay equality.
"This week we saw the progressive move by both the Brazilian FA and English FA that male and female footballers will be paid the same amount to represent their national teams," he said.
"They join a mere handful of nations across the world that have that have enacted pay parity for male and female international footballers.
"The FAI has an opportunity to put Ireland to the fore of gender equality across the EU.
"I will be writing to the FAI asking for pay equality to be established for female footballers representing the national team.
"To develop greater participation in sport by women, equal pay and supports while representing your country must be a core principle."
Australia, Norway and New Zealand are amongst the nations to previously decide to pay their men and women internationals the same amount.
In March 2019, the US women's team, the current world champions, sued their federation alleging discrimination over pay and conditions.
A judge dismissed their case in May this year but the team appealed.
The FAI are currently in the process of hiring a new, permanent chief executive to fill the role vacated by John Delaney in 2019, with Olympic Federation of Ireland president and Swim Ireland chief executive Sarah Keane the leading candidate.