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Abstract We investigate the process $$B\rightarrow \bar{D}D_s \pi $$ B → D ¯ D s π via several rescattering processes. It is shown that the triangle singularity (TS) peak around the $$D^*K^*$$ D ∗ K ∗ threshold generated from the $$\chi _{c1}K^* D^*$$ χ c 1 K ∗ D ∗ loop is relatively narrow, which may simulate the resonance-like structure $$T_{c\bar{s}}(2900)$$ T c s ¯ ( 2900 ) recently observed by LHCb in the $$D_s\pi $$ D s π spectrum. However, the TS peak around the $$D_s^*\rho $$ D s ∗ ρ threshold generated from the $$D^{**} D_s^* \rho $$ D ∗ ∗ D s ∗ ρ loop is smoothed by the broad width of $$\rho $$ ρ , which itself can hardly describe the $$T_{c\bar{s}}(2900)$$ T c s ¯ ( 2900 ) structure. A non-resonance TS signal around the DK threshold generated from the $$\chi _{c0}K D $$ χ c 0 K D loop is also predicted.