'despite this background' is a correct and usable part of a sentence in written English.
You can use it to express the idea that certain circumstances exist, but in spite of them, a specific action is being taken or something else is true. For example, "Despite this background of rising tensions, peace talks are still scheduled to take place."
"And yet despite this background, this is a completely hidden emergency," Watkins said.
Despite this background Britain would still have "very productive discussions" with the Chinese leadership and would build up strong commercial links.
Despite this background, he was a strangely anonymous figure in Obama's tight-knit Administration, which cedes little real power to Cabinet secretaries.
Despite this background, I was 14 years old before being baptized into the church.
Despite all this background, little is known as regards to the appearance, location and dynamics of condensin in meiotic cells, being the initial studies reduced to A. thaliana ([23]), C. elegans ([22], [25]), Xenopus ([29]), and S. cerevisiae ([24]).
Despite this dubious background, Abrams' career in Washington remained has remained intact.
Despite this unpromising background, the new claim is supported by a firm radiocarbon date.
Despite this messy background, the show has become a prize property for AMC, a brash little brother to tout alongside "Mad Men" and "Breaking Bad".
Despite this prominent background, [18 F]12 showed a significantly reduced hepatobiliary excretion compared to the previously synthesized 18 F-click folate and most importantly facilitated visualization of FR-positive tumors on the maximum intensity projection.
Despite this historical background, the university's current athletic programs are named the Broncos.
Yet, despite this illustrious background and fascinating personal history, not a single biography has been published of this pioneering woman.
