An embolic material capture catheter comprising: an outer sheath defining an outer sheath lumen; an inner sheath slidably disposed in the outer sheath lumen and defining an inner sheath lumen, wherein the inner sheath has an inner sheath distal end portion; and an embolic material capture element having an insertion configuration for advancement within a blood vessel and a deployed configuration for blocking flow of embolic material through the blood vessel, wherein the embolic material capture element comprises an outer scaffold portion and an inner filter portion; wherein the outer scaffold portion has an outer scaffold proximal end portion, an outer scaffold distal end portion, and an outer scaffold middle portion extending between the outer scaffold proximal end portion and the outer scaffold distal end portion; wherein the outer scaffold proximal end portion is attached to the inner sheath distal end portion; wherein the outer scaffold portion is configured to self-expand during reconfiguration of the embolic material capture catheter from the insertion configuration to the deployed configuration for engagement of the outer scaffold distal end portion with a blood vessel inner surface; wherein the inner filter portion has an inner filter proximal end portion and an inner filter distal end portion; wherein the inner filter proximal end portion is attached to the inner sheath distal end portion; wherein the inner filter portion is configured to capture embolic material from blood that flows through the inner filter portion; wherein the inner filter portion is coupled with the outer scaffold portion; and wherein the outer scaffold portion, in the deployed configuration, has a stepped outer diametrical profile in which the outer scaffold distal end portion has an outer scaffold distal end portion external diameter and the outer scaffold middle portion has an outer scaffold middle portion external diameter less than the outer scaffold distal end portion external diameter. an outer sheath defining an outer sheath lumen; an inner sheath slidably disposed in the outer sheath lumen and defining an inner sheath lumen, wherein the inner sheath has an inner sheath distal end portion; and an embolic material capture element having an insertion configuration for advancement within a blood vessel and a deployed configuration for blocking flow of embolic material through the blood vessel, wherein the embolic material capture element comprises an outer scaffold portion and an inner filter portion; wherein the outer scaffold portion has an outer scaffold proximal end portion, an outer scaffold distal end portion, and an outer scaffold middle portion extending between the outer scaffold proximal end portion and the outer scaffold distal end portion; wherein the outer scaffold proximal end portion is attached to the inner sheath distal end portion; wherein the outer scaffold portion is configured to self-expand during reconfiguration of the embolic material capture catheter from the insertion configuration to the deployed configuration for engagement of the outer scaffold distal end portion with a blood vessel inner surface; wherein the inner filter portion has an inner filter proximal end portion and an inner filter distal end portion; wherein the inner filter proximal end portion is attached to the inner sheath distal end portion; wherein the inner filter portion is configured to capture embolic material from blood that flows through the inner filter portion; wherein the inner filter portion is coupled with the outer scaffold portion; and wherein the outer scaffold portion, in the deployed configuration, has a stepped outer diametrical profile in which the outer scaffold distal end portion has an outer scaffold distal end portion external diameter and the outer scaffold middle portion has an outer scaffold middle portion external diameter less than the outer scaffold distal end portion external diameter.