Earlier this month, the French interior ministry said it had banned ten British “far-right activists” from France after they had engaged in actions which were likely to cause “serious disturbances to public order”.
The two men arrested on Sunday were not among these ten Britons, the Agence France Presse news agency reported.
French authorities have decided to extend the ban on the Operation Overlord gathering until Wednesday at 08:00 local time (07:00 GMT).
“Although no large gatherings have been observed so far, several accounts posted messages this weekend indicating that the operation is continuing,” read a statement from the prefects of the North and of the Pas-de-Calais departments.
It added that “these actions are part of a xenophobic and anti-immigrant ideology and create a clear risk of public disorder”.