Mr. Major has made clear that he intends to replace it, though his aides denied British news reports today that he had already decided how.
But as Mr. Major made clear in private talks with him today, the Western nations still have many questions about his plans.
The stock market and the pound fell somewhat today, after Mr. Major made clear that there were still important obstacles ahead.
China may also feel snubbed that Mr. Major made a stopover in Moscow on his way here.
Mr. Major made clear that he did not find the proposal particularly useful, although he avoided rejecting it outright.
Mr. Major ignored the recommendation, and in a presentation in Parliament instead made his proposal for elections.
Mr. Major made a key concession to the increasing number of anti-Europe rebels in his party.
If the show becomes a series, Mr. Majors, 48, and Ms. Wagner, 39, may make occasional guest appearances.
Mr. Major replied politely that in principle he would like to help, but made no commitment, senior White House officials said.
Mr. Major made it clear that Moscow had to give precise details of the aid required before any assistance could be disbursed.