According to Insurance Insider, the two firms are engaged in detailed discussions that could lead to a deal. Neither Aspen nor Sompo has publicly commented on the matter.
Aspen was previously taken private before staging its initial public offering earlier this year. The IPO, which took place in May, raised nearly $400 million, according to reports.
Any potential tie-up would come amid an active period of consolidation in the insurance industry, as companies seek scale and diversification to navigate a challenging market.
Earlier this month, Aspen reported second-quarter and half-year results showing improved performance. For the three months ending June 30, the insurer posted a combined ratio of 85.1%, a 3.6-point improvement from a year earlier, with underwriting income reaching US$100 million. On an adjusted basis, underwriting income totaled $106 million with an adjusted combined ratio of 84.3%.