Capitals and the European Parliament have been negotiating for years to agree on a sweeping reform of the bloc’s common asylum system.
Mr Charles, who visited Germany about 40 times before becoming king, gave his dinner speech in German and English.
Britain’s King Charles III travels to Germany on Wednesday for his first state visit abroad.
Nearly 6.2 million refugees from Ukraine have been recorded across Europe as of July 26, according to United Nations data.
According to UNHCR, most of the Ukrainians who have fled live in neighboring Poland, which has more than 1.15 million people.
“All those fleeing Putin’s bombs are welcome in Europe,” European Commission chief Ursula von der Leyen said. “We will provide protection…”