The server tag is not well formed.(databinder.eval)

You should be able to use:

Text='<%# Eval("Name", "{0}").Replace("&apos;","&apos;&apos;") %>'

HOWEVER, your comment about inserting the name into the database suggests that you are writing code which is vulnerable to SQL Injection[^]. If you use a properly parameterized query, there will be no need to replace or escape any "special" characters in your values.

SQLi is a very serious security vulnerability, which is extremely easy to exploit. You need to fix this vulnerability in your code ASAP.

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Everything you wanted to know about SQL injection (but were afraid to ask) | Troy Hunt[^]
How can I explain SQL injection without technical jargon? | Information Security Stack Exchange[^]
Query Parameterization Cheat Sheet | OWASP[^]
SQL injection attack mechanics | Pluralsight [^]