They say emblems can be worn when they are "commemorating a significant national or global event" but "the sensibilities of the opposing team and public should be carefully considered".
The Guardian reported that those fines are yet to be paid and will be wiped if the proposed change to the rule is approved by Fifa and the International Football Association Board, the independent guardian of the game.
The annual stand-off between FIFA and the Home Nations' football teams about wearing poppies is set to end, as the world's governing body considers allowing a change to its current rules.
The FA, SFA and FAW all lodged appeals, with the IFA not joining them only due to there being no right of appeal for fines below a certain threshold.
England players are set to wear poppies on their kit for their friendly worldwide on Remembrance Day this year after Federation Internationale de Football Association agreed to relax its ban.
Federation Internationale de Football Association classed it as a "political slogan" - despite the FA pointing out the symbol is used to remember those killed in war - and fined all four Home Nations.
Wales and Northern Ireland were also fined similar amounts for Remembrance displays.
What this means in practice, is that England, or any other team that wants to wear poppies on their shirts to mark Armistice Day, can do so, providing they get their opponents' permission and inform the organisers of the match.
England are set to play Germany in a friendly at Wembley during this time and it is understood the German FA has no objections over the use of the poppy.
England and Scotland wore black armbands with a poppy during their Armistice Day clash in November, 2016.
Federation Internationale de Football Association do not allow political symbols to be used during matches, and deemed the poppy to be just that.