Yes, candidates from outside India can apply for the SBI PO Exam. The State Bank of India (SBI) is one of the largest and most prestigious banking institutions in India, and it conducts the SBI PO Exam to recruit Probationary Officers for its branches across the country. The exam is open to both Indian and foreign nationals, provided they meet the eligibility criteria specified by the bank.

Eligibility Criteria for Foreign Candidates:
- Nationality: The candidate should be a citizen of India or a subject of Nepal/Bhutan or a person of Indian origin who has migrated from Pakistan, Burma, Sri Lanka, East African countries of Kenya, Uganda, the United Republic of Tanzania (formerly Tanganyika and Zanzibar), Zambia, Malawi, Zaire, Ethiopia, and Vietnam with the intention of permanently settling in India.
- Age Limit: The candidate's age should be between 21 and 30 years as on the specified date. Age relaxation is provided for candidates belonging to reserved categories as per government rules.
- Educational Qualification: The candidate should hold a graduation degree in any discipline from a recognized university or possess an equivalent qualification recognized by the Central Government.

Application Process for Foreign Candidates:
Foreign candidates can follow the same application process as Indian candidates. They need to visit the official website of SBI and fill out the online application form. They need to provide their personal, educational, and other required details and upload scanned copies of their photograph and signature. The application fee can be paid through online modes such as credit/debit card or net banking.

Selection Process:
The selection process for foreign candidates is the same as for Indian candidates. It consists of three stages:
1. Preliminary Examination: This is an online objective test consisting of questions from English Language, Quantitative Aptitude, and Reasoning Ability. Candidates who qualify in this stage move on to the next stage.
2. Main Examination: This is also an online objective test but with a higher level of difficulty. It includes sections like Reasoning & Computer Aptitude, Data Analysis & Interpretation, General/Economy/Banking Awareness, and English Language. Candidates who qualify in this stage proceed to the next stage.
3. Group Exercises and Interview: This is the final stage of the selection process. Candidates are shortlisted based on their performance in the Main Examination, and they are called for a group discussion and interview. The final selection is based on the candidate's performance in the Main Examination, Group Exercises, and Interview.

Conclusion:
In conclusion, candidates from outside India can definitely apply for the SBI PO Exam. They need to meet the eligibility criteria and follow the same application process as Indian candidates. The selection process is also the same, consisting of a preliminary examination, main examination, and group exercises/interview. SBI provides equal opportunities for both Indian and foreign candidates to join as Probationary Officers in their esteemed organization.