Prepare a 25 percent solution of a systemic herbicide such as glyphosate in a spray bottle. Mix a 41 percent glyphosate product at a rate of 8 1/3 ounces to 1 quart of water or 33 1/3 ounces per gallon of water, depending on the number of vine trunks you must treat. Clearly label the spray bottle and save any remaining herbicide for future use.
Make a straight cut across the trunk to reveal the bare wood inside. Make a fresh cut if the trunk was cut previously.
Spray the exposed cut surface of the trunk with the 25 percent herbicide solution. Cover the entire wood surface, but concentrate the application around the edges and bark layer for faster transport into the roots.
Monitor the trunk for new vine sprouts for up to one year after the initial application. Glyphosate herbicide takes effect in one to two weeks, but suckering vines can be problematic. Make a fresh cut across the stump and reapply the herbicide solution as needed until the vines stop growing back. The trunk should dry out and lose its color as the herbicide take effect.