In order to confirm the existence of the dibaryon state d*(2380) observed at WASA@COSY,we estim-ate the cross section for production of the possible dibaryon and anti-dibaryon pair d*(d)* in the energy region of the upcoming experiments at (P)anda.Based on some qualitative properties of d* extracted from the analyses in the non-relativistic quark model,the production cross section for this spin-3 particle pair are calculated with the help of a phenomenological effective relativistic and covariant Lagrangian approach.