Splitable-tip catheters are disclosed with bioresorbable adhesive to provide spatial separation of distal tip elements during use. The invention can be particularly useful in hemodialysis applications where it is desirable to separate blood extraction and return lumens. The adhesive facilitates insertion of the distal end of the catheter as an assembly, e.g., into a blood vessel using a single guidewire, while the bioresorbable nature of the adhesive allows the tip elements to separate in vivo.