The UK-registered Audi was chased by Belgian police across border into France where its four occupents, reportedly Iraqis, were shot at and arrested.
Jeremy Corbyn met migrants and aid workers during a tour of the Grande-Synthe camp where he said 'dreadful' conditions made it a 'disgrace'.
The £1.1 million migrant centre will be built near existing shanty town at Grande-Synthe, just five miles from the ferry port at Dunkirk.
Around 50 small boats arrived in the French port to commemorate Operation Dynamo in which 338,000 troops were rescued from Nazi forces.
The eight-year-old was killed after being hit in the head while sitting in the stands at a match in the Dunkirk arena.