Lyon chairman Jean-Michel Aulas is planning to open contract talks with Hugo Lloris and Lisandro Lopez.
France international goalkeeper Lloris is currently tied to the club until 2013, while Argentine forward Lisandro is committed until 2014.
Both men are seen as integral to Lyon's future progress, with the club having stagnated somewhat over recent years.
With that in mind, and with reports suggesting the pair are already attracting interest from afar, Aulas is keen to see them pen extensions to their current deals.
He told L'Equipe: "Our aim is to keep them at the club.
"We will talk about an extension with Lisandro. We have already started discussions with Hugo.
"We expect that they will both stay here, even if an interesting offer is received.
"We are among the 10 best clubs in Europe and our objective is to remain among those teams."
Meanwhile, Aulas' advisor, Bernard Lacombe, has revealed that coach Claude Puel must improve performances if he is to remain at the helm.
He said: "Coaches are judged on results. If the results are not good, the coach always gets the blame.
"If a coach doesn't win a trophy for three years at a club who were the champions of France seven times in a row, the situation becomes complex."