What is Trump's role in the potential resolution of the Ukraine conflict according to the Trump administration?

According to Secretary of State Marco Rubio, Donald Trump is uniquely positioned to mediate peace in Ukraine. Rubio emphasized that for three years while the conflict has raged, no other leader has been able to bring parties together for discussions, stating that "Trump is the only leader in the world that can" initiate a peace process. The Trump administration has already begun diplomatic efforts, meeting with Russian officials in Saudi Arabia shortly after Trump's phone call with Putin. While Ukrainian President Zelenskyy insists his country must have a seat at any peace talks, Trump's team believes he has the distinct capability to end the conflict as he promised during his campaign.