Adds detail, quote, background PARIS, June 27 (Reuters) - French Finance Minister Bruno Le Maire on Monday called on TotalEnergies TTEF.PA to do even more to help customers cope with high fuel prices by extending and increasing rebates. Le Maire said on BFM TV shortly before a meeting with the company's chief executive, Patrick Pouyanne. After the meeting, a finance ministry source said that TotalEnergies shared the opinion that companies have a part to play in fighting inflation.