Rinse albacore with cold water; pat dry with paper towels. Cube fish; set aside. In medium saucepan, mix broth with 1 can of water. Place albacore in steamer tray over broth and steam 2-3 minutes. DO NOT OVERCOOK! Albacore should be pink in center when removed from heat. Set albacore aside.
Strain broth into large saucepan. Add potatoes and simmer until tender. Remove cooked potatoes from broth, reserving liquid. Puree cooked potatoes with 1/4 cup broth. Return with remaining broth to pot. Add thyme, basil, and vegetables. Simmer until vegetables are almost tender.
Before serving, stir in albacore and milk and heat to serving temperature without boiling. Sprinkle with parsley just before serving.
Source: Oregon Albacore Commission