Those opposed to Romney have been advocating Trump to reward Giuliani with the secretary of state position, stressing his loyalty versus Romney's refusal to publicly say who he voted for in the presidential race.
Trump won all three states by a narrow margin in the presidential election, leading his major rival Democrat Hillary Clinton with just over 100,000 votes in all three states.
He tweeted, "In addition to winning the Electoral College in a landslide, I won the popular vote if you deduct the millions of people who voted illegally". Also, as far as we can tell the drama associated with it is being advanced in equal part by supporters of Democratic presidential nominee Hillary Clinton and USA president-elect Donald Trump.
Trump taking up the social media with a flood of tweets - almost a dozen - comes a day after the Clinton Campaign said that it would join the Green Party efforts towards recounting of votes in three States of Wisconsin, Philadelphia and MI.
Ms Stein, who won 1.4 million votes nationwide or about 1% of the count, signalled her determination to keep pushing the Midwest recount efforts, saying that "Americans deserve a voting system we can trust".
The bid is being financed by a group of activists - including voting rights attorney John Bonifaz and University of Michigan Center director for Computer Security and Society J. Alex Halderman - who have scraped together more than £3million for their campaign.
But the College's electors are scheduled to formally vote on the matter on December 19 and Trump will not officially be declared the victor until he secures at least 270 of their votes.
Yet he has seemed to undercut his own argument that the election is over by going on to question the integrity of the vote. But "we feel it is important, on principle, to ensure our campaign is legally represented in any court proceedings and represented on the ground in order to monitor the recount process itself", he said. Clinton's campaign is supporting the Wisconsin recount.
Ms Stein's campaign said she would file a petition on Wednesday for a MI recount, after which Mr Trump would have seven days to file objections. It said it initiated a court proceeding in Pennsylvania that could lead to a statewide recount.
Game between Kings and 76ers postponed due to condensation
The drop-off from Lopez to Marcin Gortat is arguably not that great, although Lopez is the more skilled offensive player. Before that, the Sixers, Kings and game officials worked collaboratively on how to proceed.
Stein's Wisconsin recount request included an affidavit from University of MI computer scientist J. Alex Halderman stating that a hand recount is the only way to determine whether there could have been a cyberattack that affected the results. His Michigan margin was a tiny 0.22% of the state's votes.
Now, her campaign is participating in the recount process.
In a tweet this weekend, the president-elect alleged - providing zero evidence - that "millions of people" voted illegally, and that that's the reason Hillary Clinton won the popular vote.
Stein said on MSNBC Monday that she knows she won't win - but she's concerned enough about hacking of election machines that it's worth the inquiry.
During his campaign, Trump repeatedly questioned the integrity of the USA election system.
In Pennsylvania, in the last 10 polls taken between October 17 and November 5, Clinton had leads in eight, they were tied in one, and Trump had a one-point lead in one - the last, taken November 3-5. The recounts are not expected to change the results of the election.
The Stein campaign's petition notes the number of absentee votes cast in Wisconsin increased significantly - which the petition alleges could be attributed to a breach of the state's electronic voter database. He also tweeted snippets from her debate remarks when she assailed Trump for refusing to say in advance that he would accept the Election Day verdict.
But state election officials have highlighted a "long-term trend" toward increased absentee voting. He did not provide evidence to back up that claim and Trump's representatives did not immediately respond to a request for more information. The corrections were made during the regular post-election canvass of the election-night vote.