Lufthansa has offered to buy an initial minority stake in ITA, Italy's state-owned successor to Alitalia, it said on Wednesday.
"This may be the next step in European airline consolidation," said Bernstein analyst Alex Irving, citing Portugal's national airline, TAP, as a prime target.
Lufthansa, Air-France KLM (AIRF.PA) and British Airways owner IAG (ICAG.L) are potential buyers, analysts said.
"At the same time, however, we closely monitor consolidation in the European airline market."
Michael O'Leary, the outspoken CEO of fellow low-cost airline Ryanair (RYA.I), also weighed in with his predictions this week.