The affected products are Birds Eye's Traditional Spaghetti Bolognese and Beef Lasagne, and Taco Bell's Ground Beef.
BBC: Horsemeat scandal: Creative Foods lasagne test positive
It said beef lasagne was the only product affected and it was sourced externally rather than manufactured by Findus.
"This concerns products that are most likely to have been contaminated, such as beef lasagne and other budget ranges, " Smythe said.
CNN: Meat industry under scrutiny as horsemeat scandal spreads
They advised them to remove Findus Beef Lasagne and Aldi's Today's Special Frozen Beef Lasagne and Today's Special Frozen Spaghetti Bolognese.
One of the latest cases involved the brand Findus, which last week revealed that some of its frozen beef lasagne dishes were actually 100% horsemeat.
In late February, tests on Birds Eye spaghetti bolognese, 340g, and beef lasagne, 400g, were found to contain horse DNA. They were removed from the supermarket shelves.
Last week Findus UK took its frozen beef lasagne, made by Comigel, off the shelves after some were found to have up to 100% horsemeat in them.
The three products confirmed to contain levels of pig DNA are Asda's spaghetti and meatballs and beef cannelloni and a beef lasagne from local authority supplier Apetito.
Two days later, the FSA said tests on packs of Findus beef lasagne in Great Britain revealed that some of the products contained up to 100% horsemeat.
The FSA said Findus had tested the meat in 18 of its beef lasagne products and found 11 meals in which it contained between 60% and 100% horsemeat.
The food giant has already withdrawn ready meals in France and Sweden after it emerged that its frozen beef lasagne sold in Britain contained up to 100% horsemeat.
The FSA has asked Findus to test their contaminated beef lasagne for the veterinary drug phenylbutazone as animals treated with "bute" are not allowed to enter the food chain.
Swedish food giant Findus withdrew ready meals in France and Sweden on Friday after it emerged that its frozen beef lasagne sold in Britain contained up to 100% horsemeat.
The company said as a precautionary measure in the UK and Ireland it would clear its Traditional Spaghetti Bolognese 340g, Shepherd's Pie 400g and Beef Lasagne 400g from the supermarkets.
And last week the British unit of frozen foods giant Findus started to recall its beef lasagne on advice from its French supplier, Comigel, after tests showed concentrations of horsemeat.
Two days after the Freeza Meats horsemeat discovery, the FSA said tests on packs of Findus beef lasagne in Great Britain revealed that some of the products contained up to 100% horsemeat.
Last week Findus UK took its frozen beef lasagne, made by the Comigel food processing company in France, off the shelves after some were found to have up to 100% horsemeat in them.
Findus UK said the only product on sale in the UK using ingredients from the French supplier had been its beef lasagne and all other beef products on sale in the UK had been DNA-tested and cleared.
Findus, which had to withdraw its beef lasagne ready meals after some samples were found to contain 100% horsemeat, said on Friday that it had tested all its other beef products and found no evidence of contamination.
Some Findus frozen beef in lasagne, made by a French food processing company, was found to be up to 100% horsemeat.
In the wake of the discoveries, the Food Standards Agency (FSA) ordered food businesses to carry out widespread tests on all processed beef products, including burgers, meatballs and lasagne.
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
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