The 3rd Generation Partnership Project (3GPP) Re-lease 17 (Re1-17) standardizes Non-Terrestrial Networks (NTNs). The 3GPP 5th Generation (5G) Advanced and 6th Generation (6G) technologies aim to enable reliable, environment-friendly, cost-efficient and secure NTNs. Integrating Terrestrial Networks (TNs) and NTNs can introduce ubiquitous coverage for Mobile Network Operators (MNOs). While NTNs have many coverage advantages, the operation of NTNs has several challenges, like mobility functionalities. Even the stationary MNO subscribers have to make HandOver (HO) due to Non-Geostationary Satellite Orbit (NGSO) satellites’ trajectories. Conditional HO (CHO) is designed in 3GPP Re1-16 for TNs. It cannot be directly applied to NTNs for fixing mobility challenges. Hence, new necessary enhancements need to be designed. This paper presents an overview of CHO and signaling challenges related to NTN coverage and mobility functionalities, along with their potential solutions.