Such talks could result in a merger of Hapag-Lloyd and Oetker's German shipbuilder Hamburg-Sued, the newspaper said.
According to media reports, Norwegian shipowner John Frederiksen, who holds about 5 pct of shares in TUI, and an unspecified number of allies are calling for a spin-off of Hapag-Lloyd. TUI's supervisory will discuss the matter in a meeting on March 17.
Separate reports said merger talks between Singapore container shipping line Neptune Orient Lines Ltd (NOL) and TUI have stalled over disagreement about who would run the merged company and opposition from TUI shareholders.