The unit, which is used to trade Italian bonds, accounts for about 7% of LSE’s revenues.
Italian authorities are understood to have indicated to the LSE that they would be opposed to any deal to sell the unit because it would have fragmented LSE’s Italian holdings.
A rift emerged between London and Frankfurt over where the holding company would be based, an issue which contributed to the collapse of the deal.
German MPs had demanded the holding company be based in Frankfurt, but the original proposal to site it in London was a “red line” for UK politicians and the LSE.