Colo. Rev. Stat. § 13-9-115
The probate court has the power to issue process necessary to acquire jurisdiction, to require attendance, and to enforce all its orders, decrees, and judgments. Such process runs to any county within the state and, when authorized by law in special proceedings or, in the absence thereof, by the Colorado rules of civil procedure, may be served outside the state. Any sheriff to whom process is directed is authorized and required to execute the same and shall be entitled to the same fees as are allowed by law for serving like process from the district court. Persons other than the sheriff or his deputies also may serve process from the probate court when permitted by law in special proceedings or, in the absence thereof, by the Colorado rules of civil procedure.
C.R.S. § 13-9-115
For procedures and persons authorized to serve process of the district court, see C.R.C.P. 4.