For a month or two in 1940, Hitler was pushing his military for invasion plans for England. They dutifully came up with "plans." We know it never happened, of course. There was a lot of discussion among the staff.
The staff battles were about the width of the beachhead. Too narrow and the English could overwhelm it before they could break out; too wide and the Germans didn't have the naval forces to defend and resupply it.
Eventually, Hitler decided they could starve out / bomb out England, plus he wanted to invade Russia.