  In this article, we continue the investigation of hep-th 1611.02179 regarding
iterative properties of dual conformal integrals in higher dimensions. In d=4,
iterative properties of four and five point dual conformal integrals manifest
themselves in the famous BDS ansatz conjecture. In hep-th 1611.02179 it was
also conjectured that a similar structure of integrals may reappear in d=6. We
show that one can systematically, order by order in the number of loops,
construct combinations of d=6 integrals with 1/(p^2)^2 propagators with an
iterative structure similar to the d=4 case. Such combinations as a whole also
respect dual conformal invariance but individual integrals may not.
