There were several reports that Bain Capital LLC and Golden Gate Capital Group were close to finalizing an agreement to buy the Houston company in a deal valued at more than $6.5 billion.
Representatives of BMC, Bain Capital and Golden Gate Capital did not immediately return calls Monday seeking comment about the possible buyout.
BMC offers cloud computing and information technology management services to businesses. The company is scheduled to report its fiscal fourth-quarter results on Tuesday.
Hedge fund Elliott Management, which has a 9.6 percent stake in BMC Software Inc., asked the company to consider selling itself last year. The stock then jumped in March after reports surfaced that the company was considering buyout offers from several private equity firms.
Company shares climbed 46 cents to $45.90 in premarket trading. The stock price has risen nearly 16 percent so far this year.