England play Scotland in a World Cup qualifier at Wembley on November 11, the day when the United Kingdom traditionally remembers its war dead.
Under FIFA rules, players are not allowed to wear poppies -- a symbol of remembrance -- on their shirts during the game because it would be a political statement.
In 2011, FIFA agreed as a compromise to let England wear a poppy symbol on black armbands when they played Spain in a friendly.
The Football Association of Wales are also seeking FIFA clearance for their players to display the poppy symbol on their shirts when they face Serbia in Cardiff on November 12.
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All the national associations are keen to know in advance what punishments they may face if they go ahead with a poppy tribute without FIFA agreement, amid fears they could be docked valuable World Cup qualifying points.
"We will be asking for their support to try to give the people of England and Scotland what they want," Regan told BBC radio. "That is to use this match of a way of remembering people who lost their lives in the war.
"I can understand why they are doing this, but it is nothing more than a mark of respect. It is a personal choice. This is not about making some political point."
Earlier, a FIFA spokesperson indicated to AFP that talks were ongoing: "FIFA is in touch with the English FA on this matter."
Underlining the gravity of the subject for some, a spokeswoman for British Prime Minister Theresa May told reporters at the House of Commons: "FIFA and the FA are talking about it at the moment.
"The prime minister herself got her poppy yesterday and she thinks that it is important that people across the country can pay tribute to the bravery and sacrifice of servicemen and women killed in conflict and wear their poppies with pride.