The German takes office at the helm of the EU's executive team on November 1 - the day after Prime Minister Boris Johnson has vowed to get Britain out of the bloc with or without a deal.
"We hope President von der Leyen doesn't see a contradiction between supporting refugees and European values", she said.
Speaking in Brussels today former German minister Ms von der Leyen said the European Union had completed contingency preparations for a No Deal Brexit but such a departure would not benefit either side.
Critics poured scorn on the incoming chief of the EU's executive on Tuesday after she named among her line-up of commissioners an official responsible for "Protecting our European Way of Life", branding it "grotesque" and "a far-right slogan".
The commission - an enormous European bureaucracy headquartered in Brussels with some 33,000 staff members - proposes EU legislation and ensures that the rules are enforced.
Iran to unveil details on cuts to nuclear commitments
The deal has steadily unraveled after President Donald Trump's unilateral withdrawal of the US from the accord a year ago . The US has continued its effort to choke off Iran's crude oil sales overseas , a crucial source of government revenue.
This is the first time Ireland has been given the significant trade portfolio at the Commission, which is increasingly important now with many free trade agreements on the horizon and can be of enormous benefit to Ireland, especially in a post-Brexit scenario when we need to diversify and grow new markets.
Meetings of the Commission would be paperless and digital, Von der Leyen said.
That issue has taken on added urgency with ominous signs of a possible global recession, or at least a pronounced slowdown not helped by the US-China trade war.
Among the five ordinary vice presidents are Slovakia's Maroš Šefčovič, who was named to coordinate inter-institutional relations and foresight, Croatian commissioner-designate Dubravka Šuica at democracy and demography, and current Czech commissioner Věra Jourová, who will be responsible for values and transparency and will help coordinate European Union action against countries which defy the rule of law.
On Monday, a source close to the Commission selection process acknowledged to AFP that von der Leyen has "some problems to work out" in configuring her team.