South Wales Police says a body has been found in the River Ely, near Penarth Road in Cardiff.
Formal identification has not yet taken place.
The family of 34-year-old Ben Thompson from Haverfordwest, who has been missing for more than a month after watching Wales play in the Six Nations, has been informed and are being kept updated by family liaison officers.
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The ex-footballer, who lives in Flintshire, said he thought he was clever sheltering his car from the snow.
Police say the body of a Cardiff man who went missing in February 2015 has been found in Forest Fawr, Castle Coch.
Well that seems to be it in terms of significant snow for the time being, but it's time now for the big freeze.