Water the soil where the Passiflora subpeltata is growing until it is wet to a 4- or 5-inch depth. Damp soil allows you to remove the root systems intact, without breaking them.
Put on garden gloves and locate the smaller Passiflora subpeltata vines. Trace them back to where they emerge from the soil. Grasp the vines as close to the soil as possible and pull straight up to remove them. If the plants are hard to remove or if the roots break, dig up the roots using a hand spade.
Continue digging until you have removed as many of the smaller Passiflora subpeltata vines from the area as possible. Place all of the removed vines into a trash bag and seal it up.
Cut off any remaining Passiflora Subpeltata vines 1 inch above ground using loppers.
Fill a garden sprayer with an herbicide containing the active ingredient glyphosate in a mixture of one part glyphosate to two parts water. Close the sprayer and shake it up gently.
Spray all the cut stems of the Passiflora subpeltata vines with the herbicide until they are completely wet.