This is a composite guidewire for use with a catheter for accessing a targeted site in a lumen system of a patient's body. The guidewire core or guidewire section may be of a stainless steel or a high elasticity metal alloy, preferably a Ni—Ti alloy, also preferably having specified physical parameters. The composite guidewire assembly is especially useful for accessing peripheral or soft tissue targets. The invention includes multi-section guidewire assemblies having super-elastic alloy or stainless steel ribbon braided reinforcements along a least a portion of the core. A variation of the inventive guidewire includes a braid and a tie layer (and one or more lubricious polymers on the tie layer exterior) to enhance the guidewire's suitability for use within catheters and within the interior of vascular lumen.