"despite disagreement" is a correct and usable part of a sentence in written English.
It is usually used to express that something still happened even though two sides disagreed about it. For example, "The two sides decided to work together despite disagreement on the specifics of the project."
And despite disagreement between organizing groups, Ultimate is known to be a game that promotes conflict resolution.
Despite disagreement around the intrinsic origin of carbon magnetism, experimental evidence has supported the existence of paramagnetism or ferromagnetism in carbon materials.
Peace is when, despite "disagreement and the possibility for open conflict," people exercise restraint and will power to "seek ways to solve it" without coming to blows.
The official said that despite disagreement over missiles, Taiwan and human rights, Mr. Bush's two-day visit was "constructive, positive and fruitful".
But both sides agreed that the proper response to unimaginable tragedy was to find a solution together, and despite disagreement to the end, they finally got there.
Despite disagreement on who and how should fund or have access to academic knowledge, there is a relatively stable "moral episteme" (Foucault, 1971) guiding the movement towards open access in the academia.
Given this, May said she was talking to Labour – despite disagreements in many other areas.
Despite disagreements about the nature and impact of the sanctions, all agree they have become counterproductive.
Despite disagreements about Manifest Destiny's validity at the time, O'Sullivan had stumbled on a broadly held national sentiment.
Despite disagreements over the value of calcium screening, Dr. Kondos contends that doctors are moving toward a consensus on how to best use the test.
Britain says it values its relationship with Israel, despite disagreements over illegal Israeli settlements in occupied Palestinian territories and its approach to the the Middle East peace process.
