Right passenger side turn lights on steady - Can't resolve problem, Any ideas?

Havev you checked the switch itself?

firstly ,did u replace any bulbs at all ,if so recheck the type of bulbs compare with old bulbs ,i have found people putting double contact bulbs in where a single should be & some with less wattage ,if all that is checked ok ,start checking your electrical wiring for burnt shorted wiring ,if all that is ok then your problem is with the DICE MODULE ,this module control the lighting function among other functions,this is located under the d/s dash area mounted unto the relay box ,good luck.