Speaking ahead of a meeting with von der Leyen on the sidelines of the annual meeting of the World Economic Forum in Davos, Trump said: "Hopefully, we'll get something done". Launched in Brussels at the start of the year, the Green Deal will be funded by the European Union, national governments, and the private sector.
"The Americans and the Europeans are good friends and we have to build on that".
"We will not pre-empt what will be the outcome, if citizens say they want treaty change we are open to this too", the vice-president for democracy and demography told reporters in Brussels.
Europe's largest investors - 44 representing €6 trillion in assets - had already called on the European Union to put climate neutrality into law, she said.
'Hard power always comes with diplomacy and conflict prevention; with the work on reconciliation and reconstruction, which is something Europeans know well, because we have gone through this, here in Europe, Ursula von der Leyen added.
President Donald Trump said he had heard that European Commission President Ursula von der Leyen was a "very tough negotiator", but hoped that the United States and the European Union could make progress on a new trade agreement.
Cervical Health Awareness Month: Preventing cervical cancer
More than 350 people were made aware of the simple measures that can be adopted to prevent this 100% percent preventable cancer. He said the increasing rates were in part due to improved tests, meaning cancers are picked up at an even earlier age.
European Union leaders sign UK Brexit agreement, what's next?
The EU's chief Brexit negotiator Michel Barnier was also present at the ceremony, held at the Commission's Brussels headquarters. In a separate tweet, Michel said: "Things will inevitably change but our friendship will remain".
EA's Tetris mobile game is dead, but an alternative is already here
N3twork's concept for the replacement game will immediately sound familiar to anyone who's tried Tetris 99 on Nintendo Switch. We hope you have gotten many hours of enjoyment out of this game and we appreciate your ongoing support.
"In [the] Green Deal funding proposals, the Commission makes promises against the EU's yet to be agreed long-term budget and place a sizeable extra burden on the EIB's shoulders".
Trump also discussed a trade deal with Simonetta Sommaruga, the president of Switzerland, which is not an European Union member, at a separate meeting.
Trump renewed his warning of possible tariffs on European automobile imports, saying that if there was no trade pact "we'll give that very strong consideration".
Sommaruga said she would also discuss global warming, something which Trump has frequently cast doubt on, despite the almost unanimous agreement of scientists around the world that the phenomenon exists and is accelerating.
France has threatened to fight back. "We have issues to discuss and we will negotiate".