Those who successfully withdrew, most famously from Dunkirk but also from smaller evacuation sights, Le Havre, Nantes, St Nazaire, La Rochelle, Saint-Jean-de-Luz initially went directly back to Britain. The early Dunkirk evacuations were mostly bound for Dover as the closest port on the British coast. Those evacuations with occurred further west along the north west and western coast of France generally were bound for more western British ports. Plymouth and Portsmouth were the big ones but others like Weymouth, Poole, Falmouth and Southhampton took some of the transports returning to the home isle.

If you mean in the slightly longer term the evacuations trailed off in late June. Italy by this point was entering the war in response to the successes of the early German campaigns. Soon after the war came to Africa, the East African Campaigns beginning in July as the Italians began an attack of British Sudan from their own colony of Eritrea with the war in east africa heating up more in August as they invaded British Somaliland. Then in September they attacked British Egypt from their Libyan Colony.

British troops would be redeployed to North and east Africa to face such threats. The big one being Operation Compass which turned around the Italian invasion of Egypt and left the Italian position in the region nearly in total collapse before the deployment of German troops to the region. I could go on as we cycle forwards to though the war. But needless to say as world war there were a myriad of large and small deployments across the world British forces would deploy to before they were back in France and eventually the war came to an end.