In the healthcare sector, the use of simulation models is pervasive and multifaceted, serving a range of purposes, including but not limited to supporting decision-making, resource allocation, and reducing overcrowding of facilities. These models may be connected to the physical world in various ways, which allows them to be integrated into other systems, such as the Digital Twin (DT). Nevertheless, in the case of DTs, the simulation model needs to be updated quickly to ensure accuracy, a task that is not straightforward when a specific simulation model with a high level of detail is required. To deal with this stake reusable models with twinning features could be a solution. As a result, a review is conducted to study existing simulation models in the healthcare sector and to assess their twinning process as well as their reusability and abstraction level. The main conclusions of this review, including 26 papers are the following. Firstly, most of the models are specific and therefore difficult to reuse. Secondly, generalisable models are not being used to develop specific models. Thirdly, the updating phase of simulation models, being part of a DT, is never mentioned.