To apply for a PhD abroad, start by researching universities and programs that align with your research interests. Prepare a strong application including your CV, a well-crafted research proposal, and letters of recommendation. Ensure you meet the specific requirements of each program, such as language proficiency tests or GRE scores. Contact potential supervisors to discuss your research ideas and confirm their willingness to mentor you. Complete the application forms and submit all required documents by the deadlines. Finally, be prepared for interviews or additional assessments as part of the selection process.