Parkinson´s Disease (PD) affects between 4.1 and 4.6 million people in the world. Diagnosis of PD is currently clinical and based on its motor manifestations (bradykinesia, rest tremor, and rigidity). However, non-motor symptoms such as pain, fatigue and neuropsychiatric manifestations are present in more than 70% of subjects. Pain affects about 85% of patients but is paradoxically under-reported and consequently under-treated in PD patients with a great impact on their quality of life. Levodopa, which is the election treatment in PD, has shown controversial results regarding pain sensitivity and has been shown ineffective for enhancing the endogenous pain modulation system. Furthermore, there is a lack of management protocols and nonpharmacologic treatments for pain in PD. Several syndromes are hypothesized to be involved in PD pain generation. Generally, PD patients suffer from alterations in peripheral transmission, sensitive-discriminative processing, pain perception, and pain interpretation in multiple levels, due to neurodegenerative changes in dopaminergic pathways and non-dopaminergic pain-related structures. Therefore, central mechanisms are proposed to be crucial for the development and establishment of pain in PD patients. Regarding pain processing features, PD patients have reduced pain thresholds, an augmented Temporal Summation (TS) after repetitive nociceptive stimulus, and the impairment of their Conditioned Pain Modulation (CPM) is correlated with greater severity and premature onset of the disease. Cortical excitability reduction is common in patients with pain. Therefore, diverse therapies are being developed to counteract this cortical excitability reduction and obtaining, consequently, effective pain relief. In consonance with these findings, in PD condition, especially in off state, there is also evidence of cortical excitability decrease but, to the best of the investigators´ knowledge, there are no studies targeting cortical excitability to treat pain in PD. Thus, the present study proposes non-invasive brain stimulation therapy for the treatment of PD-related pain. The non-invasive brain stimulation therapy will be transcranial direct current stimulation (tDCS) over the Primary Motor Cortex (M1). tDCS over M1 is capable of increase corticospinal excitability in both M1 and other pain processing-related areas such as the thalamus, Dorsolateral Prefrontal Cortex (DLPFC), cingulate cortex, and insula, also involved in PD pain processing. These increments of cortical excitability have been correlated with pain relief in chronic pain such as fibromyalgia, osteoarthritis, migraine, and spinal cord injury. It is also hypothesized that tDCS would be an effective strategy to treat central sensitivity-related pain, a process whose features are common with PD condition. Moreover, specifically in PD, tDCS over M1 has shown to increase cortical excitability, augmenting the Motor Evoked Potential (MEP) amplitude by 78.5%, correlating with motor improvements. The main aim of this study is to conduct an independent parallel randomized controlled trial based on tDCS targeting changes in 1. validated general and specific PD related pain scales and 2. psychophysical measurements of pain modulation mechanisms. The investigators´ main hypothesis is that active tDCS will be superior to its respective control placebo intervention.