"reports of progress" is a correct and usable phrase in written English.
You could use it when referring to progress (either positive or negative) in a situation. For example: "The company released reports of progress in the fourth quarter of the fiscal year."
The city required contract agencies to give weekly, monthly and quarterly reports of progress.
"I am encouraged by reports of progress," Representative Barney Frank of Massachusetts, chairman of the House Financial Services Committee, said.
On daring ventures into combat to report on conditions in Vietnam, he recognized the futility of the American cause and the fakery of internal reports of progress there.
The search for the missing girls has gone through may twists and turns over the years, sometimes resulting in false reports of progress.
Despite reports of progress, there were warnings against undue optimism as talks resumed between the Southeastern Pennsylvania Transit Authority and Transport Workers Union Local 234.
In Turkey, news of the killings rapidly overtook latest reports of progress in talks between Turkish intelligence officials and Abdullah Ocalan, the jailed P.K.K. leader.
However, each report of progress is accompanied by another problem.
Every fresh report of "progress" on the debt-ceiling talks produces new reasons to feel profoundly uneasy.
"This will be a position within the department which will have responsibility for three things – the development of threatened species plans, the implementation of those plans and the public reporting of progress," he said.
By encouraging the elimination of quarterly guidance, the reporting of progress towards annual results, and the issuing of long-term strategic roadmaps, the SEC could have a very significant impact on short-termism even within the current regulatory framework.
Neither side in the extended discussions gave any report of progress in settling the impasse, but there were some indications that the pace of negotiations had picked up slightly.
