Although none tested positive for horse DNA, some own-brand meatballs were found to contain traces of pork.
The Asda product was tested as part of an industry-wide programme and found to be positive for horse DNA above 1%.
The FSA also said that late last month a burger from hotel chain Whitbread had tested positive for horse DNA above 1%.
In addition to the Creative Foods lasagne, the parent firm said another of its Brakes' products, a spicy minced beef skewer had tested positive for horse DNA at between 1% and 10% levels.
BBC: Horsemeat scandal: Creative Foods lasagne test positive
Meanwhile, fast food chain McDonald's announced that none of its meat products had tested positive for horse DNA, adding customers could "continue to trust in the quality of food" served at its restaurants.
Twenty-four hours later, a consignment of beef in a County Down cold store tested positive for horse DNA. The samples taken from Freeza Meat in Newry were found to be about 80% horsemeat.
Written by experts who pioneered use of genetic data to search for the aggressive fish, the paper disagrees with government scientists who say many of the positive Asian carp DNA hits recorded in or near the lakes in recent years could have come from other sources, such as excrement from birds that fed on carp in distant rivers.
There were six positive tests for horse DNA at a level of greater than 1% - all on products which have been withdrawn.
Iceland was one of the supermarket chains caught up in the crisis when the Irish Food Standards Agency said some Iceland burgers contained horse DNA. Their products subsequently passed the British tests - which only show positive at more than 1 percent horse DNA trace.
Rangeland was shut down after a sample at the factory tested positive for 75% horse DNA in raw ingredient.
The FSAI tested 27 beef burgers and of that sample, 37% tested positive for traces of horse DNA, while 85% were found to contain traces of pig DNA. The amounts detected were very small, except for one beef burger from Tesco, that was found to contain 29% horsemeat.
Brakes said one positive test at 1% horse DNA was reported by a customer of Creative Foods for a lasagne made exclusively for that outlet.
BBC: Horsemeat scandal: Creative Foods lasagne test positive
The results of the DNA tests are due to be released in December but, in anticipation of a positive result, planning is already under way for what to do with the notorious king's remains.
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