Continue reading other XML elements in the face of exception

I have weird situation. I have code (using XmlReader):

bool t= true;
while (t)
{

                    try
                    {
                        // Start reading
                        t = reader.Read();
                        if (t == false)
                            break;

                        if ((reader.NodeType == XmlNodeType.Element))
                        {
                           ...
                        }
                     }catch(Exception ex)
                     {
                       //Log
                       // If I get exception, next Read() fails
                     }
}

Don't ask why I have t variable-if I remember correctly I used it in order to continue reading other elements if I had exception withing Read() method - which previously I had inside while statement - instead of t as it is now.

You can see I designed it such that if I get exception on some line I want to proceed and process other elements. But as soon as I get exception - btw this is the exception I get:

: '.', hexadecimal value 0x00, is an invalid character. Line 1344, position 1.

The call to next Read() returns - false effectively terminating my reading logic. But I wanted it to continue reading other XML lines like I said. But it doesn't happen since Read() will return false after exception.

What can I do to avoid this? And ignore the exception and continue reading other lines?