Methods of reshaping ferrules (20) used in optical fiber cables assemblies (170) are disclosed. The reshaping methods reduce a core-to-ferrule concentricity error (E), which improves coupling efficiency and optical transmission. The methods include measuring a distance (δ) and angular direction (θ) from a true center (30) of the ferrule to the core (46), wherein the true center (30) is based on an outer surface (26) of the ferrule. The methods also include reshaping at least a portion (26P) of the ferrule (20) to define a new true center (30′) of the ferrule (20) and reduce the distance (δ). A variety of reshaping techniques are also disclosed.