The demands come as Jeffrey Immelt, GE chief executive, flew back to Paris for a new round of negotiations with government officials on Thursday. Alstom's board has until Monday to decide between the two offers.
The French government has given itself an effective veto over the deal. It is intending to make a decision on its preferred bidder by the weekend, the senior official said, who described the two offers as currently running "neck and neck".
Read MoreSiemens and Mitsubishi finalize Alstom offer
Siemens is offering €3.9bn for Alstom's gas turbines business, while Japan's Mitsubishi Heavy and partner Hitachi would pay €3.1bn to take a minority stake in a joint venture with Alstom in its steam, grid and hydro divisions.
The offer from GE is more straightforward, offering to buy Alstom's energy assets outright but agreeing to a number of concessions on employment and preserving centres of decision making in France.
With intense talks still under way with both sides, the government viewed Mitsubishi-Siemens as having a "slight advantage" because their proposal was based on forming a partnership with Alstom, not a takeover.
Read MoreFrance to GE, Siemens: Alstom proposals still not good enough
But if the GE offer "ticked the sovereignty box", the bias would shift its way because its proposal was more straightforward to implement and was favoured by the Alstom board, the official said.
The government also wants GE to ring fence Alstom's nuclear turbine operation, which it regards as a strategic national priority, and wants full joint venture terms for Alstom's grid and renewables businesses.
The official said the government meanwhile needed more clarity from Mitsubishi on its long-term intentions for Alstom's steam turbine operations, in which the Japanese company proposes taking a 40 per cent minority stake. Paris wants to know whether Mitsubishi would look to merge them with its existing joint venture with Toshiba.
Read MoreAlstom shares rocket as it denies GE takeover talk
The Alstom board is leaning towards supporting the GE offer, in part due to concerns about how the rival offer would give Mitsubishi the power to veto future tender bids that competed directly with the Japanese group, according to people close to the talks.
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The Mitsubishi-Siemens deal would see the Japanese group become a 40 per cent shareholder in Alstom's steam turbine business, which is also its direct rival, regularly competing for projects across Europe and Asia.
Under the proposal, which has been seen by the Financial Times, at least one of Mitsubishi's four board members would have to support any major commercial decisions, including "any open-bid process" over a certain size.
Read MoreFrench minister expects new GE offer for Alstom unit
Mitsubishi said in a statement that it intended to use this right to "promote the autonomous commercial interests of Alstom JV . . . in compliance with our common interests and, more importantly, with our business ethics."
Under the proposal, Alstom Steam's chief executive and chief of sales would be designated by Alstom, while the chief financial officer and one of the two chief technical officers would be nominated by Mitsubishi and partner Hitachi, according to the document.
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