"He made a difference. Let us now carry that work forward in our time," Mr Obama declared as he ended his eulogy for the Special Representative for Afghanistan and Pakistan, following his sudden death of a heart attack last month.
But who would fill this larger-than-life figure's big dusty boots?
Names mentioned by several people close to this process are obvious choices on Washington's rollcall of the best and brightest.
But many tried-and-tested troubleshooters are said to be demurring, citing other commitments, advancing age, or the daunting scale of the task.
How will the approaches championed by Mr Holbrooke move forward, including a strong civilian role alongside the growing military juggernaut and its powerful four-star, all-star General David Petraeus?
"The essence of the challenge is getting the balance right between the military and the political, civilian and diplomatic aspects," reflected former deputy Secretary of State Strobe Talbott, a close friend of Mr Holbrooke, who now heads the Brookings Institution.