Here’s a concise list of banks in Sri Lanka that provide international / cross‑border banking services (examples: foreign‑currency accounts, remittances, trade finance / letters of credit, correspondent banking, offshore or international account opening, international cards). I grouped them as (A) major Sri Lankan banks with international services and (B) foreign banks / foreign branches operating in Sri Lanka.

A — Major Sri Lankan banks that offer international banking services

• Commercial Bank of Ceylon (ComBank) — extensive trade finance, remittances, foreign‑currency facilities and overseas operations/subsidiaries. (en.wikipedia.org)
• Hatton National Bank (HNB) — foreign exchange, trade finance, remittance and correspondent banking services (HNB markets international banking services). (bankinfolabs.com)
• Sampath Bank — FX, trade finance, international payments and correspondent banking relationships. (en.wikipedia.org)
• Bank of Ceylon (state bank) — large state bank with extensive trade finance, remittance and foreign‑currency operations. (bankinfolabs.com)
• People’s Bank — state commercial bank offering trade finance, correspondent banking and remittance services. (bankinfolabs.com)
• Nations Trust Bank, DFCC Bank, Seylan Bank, Pan Asia Bank, National Development Bank (NDB), Cargills Bank, Amana Bank — many of these domestic banks provide FX, remittance, trade finance and correspondent banking; some also offer offshore or foreign‑currency products. (bankinfolabs.com)

B — Foreign banks and international banks with branches or presence in Sri Lanka

• HSBC — international banking services (Global View/Global Transfers, Premier, international accounts); note: HSBC operates corporate/institutional services in Sri Lanka and recently announced strategic changes to its retail presence. (HSBC.lk)
• Standard Chartered — international/cross‑border banking, trade finance and corporate services. (bankinfolabs.com)
• Citibank — global corporate & institutional services and treasury/correspondent relationships. (bankinfolabs.com)
• State Bank of India (SBI), ICICI Bank, Indian Bank, Indian Overseas Bank, Habib Bank, Deutsche Bank, MCB Bank, Public Bank Berhad and others — these foreign banks (branches / subsidiaries or representative offices) provide a mix of corporate, trade finance, NRI/retail and correspondent services. (bankinfolabs.com)

Notes and next steps

• The Central Bank of Sri Lanka (CBSL) regulates licensed commercial banks; the composition of banks and the services they offer can change, so check the specific bank’s website or contact them for exact international products (e.g., multi‑currency accounts, international account opening, offshore/EPZ services, inward/outward remittances, trade finance, cross‑border wealth services). (bankinfolabs.com)
• If you want, I can: (a) give contact pages/links for a specific bank’s international services, (b) compare fees/services for a short list you pick, or (c) tell you which banks support opening foreign‑currency / offshore accounts for non‑residents — tell me which option you prefer.