Additive manufacturing enables the economical production of individual and complexly shaped parts, but also allows for the repair of parts made from highly specialized material for specific applications. The laser metal deposition process, in particular, provides the necessary flexibility and freedom of design required for the repair of high pressure turbine blades made from single-crystal Nickel-based superalloys. The monocrystalline microstructure of such two-phase superalloys makes them most suitable for high temperature applications. The challenges faced during repair, while ensuring the monocrystallinity of multiple layers of deposit vary with increasing height of the structure and number of layers due to varying heat conduction mechanisms. This paper presents a method to additively repair defects in single-crystal material, while taking into consideration the varying requirements involved in maintaining the epitaxial solidification throughout the deposited volume.