Mining giant Glencore, facing rumours in financial circles it would soon be delisted, insisted Tuesday its business remained robust which sent its shares rebounding by 20 percent.

"Our business remains operationally and financially robust – we have positive cash flow, good liquidity and absolutely no solvency issues," the Swiss company said in a statement.

In London afternoon trading, Glencore shares climbed 20.08 percent to 82.47 pence, after the stock had plunged by nearly 30 percent on Monday.