Cut the globe willow down to just above ground level or re-cut the stump as low as necessary to reach living tissue just before you apply herbicide. Cut any sprouts down to just above ground level and make cuts as level as possible. Time the cutting and herbicide application for summer or early fall, when the tree is actively growing.
Brush any sawdust or other debris off of the cut surface to ensure the thorough absorption of herbicide.
Mix water with a triclopyr or glyphosate herbicide so it contains 8 to 10 percent triclopyr or glyphosate or the amount recommended by the manufacturer. For example, if a glyphosate-containing herbicide has 41 percent listed next to glyphosate in the active ingredients on the label, mix one part with three parts water to achieve the desired concentration.
Brush the solution onto the freshly cut surface using a foam brush or applicator, or spray it onto the cut surface. For small stems, cover the entire surface. For larger stumps, only treat the outer 3 inches of the cut surface, as the cambium layer next to the bark is the part of the tree that contains living tissue.
Monitor the treatment area for at least one year, looking regularly for any new willow sprouts. If new sprouts emerge, either cut them down to ground level and brush a 8 to 10 percent active ingredient herbicide solution onto the cut surface or spray the newly-expanded foliage on the globe willow sprouts with a solution that contains 1 to 2 percent active ingredient.