Midfielder Jack Wilshere attempted to draw a line under his own involvement in a controversial debate with a series of tweets on Wednesday evening.
Yet the issue is not going to disappear, with more youngsters likely to emerge with similarly complicated backgrounds like Manchester United teenager Adnan Januzaj, who could already play for Belgium, Albania, Serbia and Turkey, in addition to Kosovo should they ever gain full FIFA status.
However, it is confirmation Januzaj could also play for England if he remains in this country until February 2018, five years after his 18th birthday, that has caused the rancour.
Many former players agree with Wilshere's assessment that England should steer well clear of such cases.
Dyke admits the situation is not quite so straightforward.
"We need to look at the rules," said Dyke.
"We need to look at what other countries are doing and whether we are putting ourselves at a competitive disadvantage by not doing it.
"I am not saying, let's grab him or not grab him. It is a wider case because his is not the only case.
"Longer term, what I really care about is that kids coming through the system have the opportunity to play at the highest level if they have got the talent."
The chances are Wilshere will not be involved in the discussion, though, as he ended his Twitter debate with Kevin Pietersen on Wednesday night.
"To be clear, never said 'born in England' - I said English people should play for England," said Wilshere.
"Great respect for people like KP (Kevin Pietersen), Mo Farah and Wilf Zaha - they make the country proud.
"My view on football - going to a new country when ur an adult, & because u can get a passport u play 4 that national team - I disagree.
"Just saying my opinion, everyone is entitled to theirs. Can't wait for Friday night..."
Wilshere received the backing of his club manager, Arsene Wenger.
Wenger told BBC Sport: "I agree with him. I always said also an Englishman should manage the England team.
"If we are not clear on that then national teams will become like a club."
Press Association Sport understands that Januzaj will not make a decision on his international future until he is playing regular first-team football and that any decision would be made in consultation with his Albanian-born father.
Crucially, he is not dismissing the prospect of playing for England and manager Roy Hodgson has admitted he will be keeping a close eye on the Belgium-born wide-man's development.
Wayne Rooney has admitted he is in two minds about the concept.
"I don't know," he said.
"Adnan is a tremendous talent. If he wants to play for England, he has to go and speak to the manager and go through the right people.
"You see a lot of different nationalities playing for the cricket team but football has been quite traditional and stayed with English players. It's a difficult one."