Coupling is studied between the dipole moments of electrically small bianisotropic particles. The interaction is defined and computed using a multipole expansion of the fields re-radiated by surrounding particles. The result is cast in the form of a six-vector bilinear form containing the interaction six-dyadic of the system which depends on the dipolarisability dyadics of the particles and their separation distance vector. In an alternative approach, the effect of coupling between the induced dipole moments is quantified by employing a de-embedding procedure. This leads to modified dipolarisability dyadics, which contain the dipolarisability dyadics of the individual particles and the separation distance vectors. These can be used with existing mixing rules to compute the effect of particle interaction on the constitutive parameters of the effective medium.