He insisted, however, that the FA took the issue seriously and will study measures against fixing already in place in cricket and horse racing.
Speaking after the meeting, Horne said the consensus was that match-fixing "isn't a big issue".
"The intelligence that we have says this isn't a widescale issue at the moment but, again, we don't want to be complacent.
"It's clear that, as Britain, we are very proud of our sporting product, of the sport that we play in this country and we all want to do all we can to protect the integrity of that sport.
"We are never complacent on this issue and there's a lot we can learn from other sports."
The FA has its own integrity unit and education programmes, but fixing has been an issue for a longer time for horseracing and cricket.
"We don't want to see this in our sport and so, therefore, we are doing everything we can, we are looking at all measures we can across sport, but also with the agencies.
"We really welcome the recent impetus from the NCA. I think that is going to be a really important body for all of us in reminding people that these are criminal activities and the criminal nature of activities shouldn't be under-estimated."
- AAP