The machine does not just slip a frozen pizza into a microwave. It actually whips up flour, water, tomato sauce and fresh ingredients to produce a piping hot pizza in about three minutes.

The machine, which Mr. Torghele calls Let’s Pizza, is only the spearhead of a trend. Restaurants reminiscent of the old Horn & Hardart chain in the United States, which are fully automatic, are also showing up around the Continent.