"The concern is quite high in the Netherlands because it is such a dangerous disease," Dutch Agriculture Ministry spokesman Benno Bruggink told BBC News Online.
UK Agriculture Minister Nick Brown flew to Brussels to brief fellow European farm ministers on the extent of the outbreak in Britain and the steps being taken to tackle it.
Mr Brown made it absolutely clear no animals with the virus would be exported from Britain.
There are as yet no recorded cases of foot-and-mouth in mainland Europe, but hopes the crisis could be confined to the UK receded on Sunday with the confirmation that a British exporting farm has the disease.
The news sent a shudder of fear across European farms already reeling from the BSE crisis, and gave an added edge to protests, held to coincide with the Brussels meeting, at which farmers demanded compensation for their crisis-hit industry.
The most dramatic response to the foot-and-mouth threat has come in the Netherlands and Germany, where thousands of newly-imported animals have been slaughtered, along with local farm animals with which they have come into contact.
In the Netherlands alone, 4,300 sheep, cattle, pigs and deer have been slaughtered at farms known to do business with the UK, said officials.
"The concern is quite high in the Netherlands because it is such a dangerous disease," Dutch Agriculture Ministry spokesman Benno Bruggink told BBC News Online.
"In deer and sheep, the disease is harder to detect. That is why we have not taken any risks, and have gone ahead with the slaughter."
But he warns that some animals have already been re-exported to third countries, mainly France.
Lorries cleansed
Dutch livestock markets - and all nine markets in Belgium - have been banned for a week to minimise the risk of cross-contamination.
Belgium is also insisting on the disinfection of all vehicles arriving from the UK which have been used to transport animals.
Frantic efforts are now expected to try to trace animals from the infected UK farm, in Highampton, Devon, which have been shipped to France in the past few weeks.
In Germany, a slaughter of animals has begun to try to eliminate the risks of the disease surfacing there, a regional government minister revealed on Monday.
"It happened on one farm yesterday and will happen this morning on another one," said Baerbel Hoehn, environment and farm minister for the large western state of North Rhine-Westphalia.
Other farms are being placed under strict quarantine, and tests have also been ordered on all animals imported from the UK over the last three weeks.
The last outbreak of foot-and-mouth in the European Union was in 1992, when a small number of cases were reported in Greece, but the outbreak did not spread.
One group of British sheep in France has been given the all-clear. The sheep had appeared at France's annual agricultural fair, and were established to be free of the disease after blood tests.
New crisis fears
The tests were part of a full-scale alert in France, which fears the disease could have been carried across the Channel on the wind as well as being brought in by diseased animals or contaminated lorries.
European farmers, as well as their UK counterparts, can ill afford a new crisis.
The BSE crisis, which took hold in mainland Europe in October, has sent demand for beef plunging.
The farm ministers' meeting has been hearing pleas from France to provide compensation for farmers hit by the mad cow crisis.