TS Laevad replaced the previous operator, SLK, on 1 October 2016[7] after submitting a public procurement bid 64 million euros less than its predecessor.

[14] In April 2024, TS Laevad won a public tender to operate the Saaremaa and Hiiumaa routes from 1 October 2026 until September 2033.

[17] On 28 July 2017, the ferry Tiiu struck the seabed twice and sustained hull damage en route from Rohuküla to Heltermaa.

The minister responsible, Kadri Simson, blamed the cancellations on inadequate dredging in the Rukki Channel, through which ferries pass between Rohuküla and Heltermaa.

Travel to the islands was restricted to residents only, and the number of passengers reduced by 92 percent compared to the previous year.

The company stated that the collision was caused by a technical failure resulting in a loss of engine power as the ferry approached the berth.

[22][23] The Estonian Ministry of Economic Affairs is assessing the option of building a bridge or tunnel connection between the mainland and Muhu across the Suur Strait.