Here are banks in Sri Lanka widely recognised for strong relationship-management / private‑banking services, with a short reason for each and sources you can check:

1. Commercial Bank of Ceylon (ComBank) — market-leading private & corporate client service; repeatedly awarded “Best Bank”/customer‑service accolades regionally and locally, indicating strong client relationships and experienced relationship teams. (dailynews.lk)

2. HSBC Sri Lanka — international private‑banking and cash‑management capabilities; Euromoney client‑service awards and local recognition for cash‑management and client service point to high standards in relationship management for corporates and high‑net‑worth clients. (newswire.lk)

3. NDB Bank / NDB Privilege (NDB Wealth) — well‑established “Privilege” / private‑banking centres and a formal relationship‑manager model (dedicated RMs, back‑ups, branch Privilege centres) for HNW and corporate clients. (ndbbank.com)

4. Sampath Bank — strong retail/private banking credentials and recent expansion of private‑banking units; recognised regionally (Euromoney/World Finance) for customer service and corporate responsibility, supporting high‑quality RM service. (newswire.lk)

5. Nations Trust Bank (NTB) — dedicated Private Banking centre in Colombo with assigned relationship managers and bespoke wealth services for HNW clients. (nationstrust.com)

Other banks to consider (also known for dedicated RMs / wealth units): Hatton National Bank (HNB) — strong overall banking performance and retail service network; DFCC and HSBC’s local operations for corporate/treasury relationship management. (srilankachronicle.com)

How to choose the best relationship manager for you

• Match the RM’s expertise to your needs (wealth management, corporate treasury, trade finance, SME lending, cross‑border services).
• Ask for credentials (years of experience, certifications, typical client profiles) and a sample service plan.
• Request a trial meeting to assess responsiveness, proactivity and whether they provide tailored advice (not just product sales).
• Check references or client testimonials where possible and compare service SLAs (response times, backup RM arrangements).
• For corporate needs, prioritise banks with strong cash‑management and global network (e.g., HSBC, ComBank).

If you want, I can:

• pull up the private‑banking contact pages or RM phone lists for any two banks above and summarise how to reach their RM teams; or
• give a short checklist/template of questions to ask a prospective relationship manager in your first meeting.