For this You want to Use Opera Mini version On your Mobile...
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01. Type "Opera:config" on your opera mini address bar and go..
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02. Power user setting will appear on your browser.
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03. Scroll down the page and Last one is "Use bitmap fonts for complex scripts"
Make that One "No" to "Yes" -----> Save the page...
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04. Enjoy Sinhala Font on your Mobile....
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Just Simple.....