The soft wheat was said to have been bought at $298.49 a tonne on a cost and freight (c&f) basis for four consignments and $302.19 a tonne c&f for one consignment, all from trading house Casillo.
The durum was bought in two consignments, all at an estimated $374.68 a tonne c&f, also from Casillo.
"Crop conditions have improved dramatically in (Russia's) south thanks to mild winter and ample precipitation in recent weeks," Sovecon said in a note.
Sovecon added that it had reduced its estimate for Russia's winter grain sowings lost after winter to 9.9% from 16%.
Benchmark CBOT May soft red winter wheat hit technical resistance overnight at its five-day moving average. Support was noted at its 20-day moving average.
Corn seen lower in profit-taking setback after rising 1.3% on Tuesday.
Corn and soybean futures also weakened, with traders noting a lack of export activity this week even with Chinese buyers back on the market following the Lunar New Year celebrations.
"A bull market needs to be fed everyday," said Mark Gold, founder of Top Third Ag Marketing. "We just do not see export numbers justifying these kind of prices."
That remained well below the 36.9 million tonnes estimated for 2019/20, reflecting a sharp drop in harvest supply this season, the Commission's grain supply and demand data showed.
That would be below estimated common wheat stocks of 9.8 million tonnes at the end of last season.
Tonnage bought was initially unclear but thought to be close to the tender volume of around 100,000 tonnes of soft wheat, 92,000 tonnes of durum wheat and 100,000 tonnes of barley.
Shipment of all grains was sought between March 15 and April 25, depending on the supplying origin.
Moscow's wheat export tax and a grain export quota, launched on Monday as part of efforts to reduce food inflation amid the coronavirus pandemic, have already been priced in, they said.
Sovecon, another Moscow consultancy, said wheat prices fell by $4 to $281, while barley was unchanged at $248.