After the Asylum, Lordran drops Diablo II uniques and set pieces read from your own D2R install—names, stats, and all.
You are still the Chosen Undead in Dark Souls: Remastered. Once you leave the Undead Asylum, enemies in Lordran can drop Diablo II: Resurrected uniques and set items: the bridge reads your D2R CASC data each time you press Play and maps those items onto Souls gear you can equip.
Single player only in v0.1.0.
uniqueitems.txt, setitems.txt, and names from your D2R install.