Use XMLHTTPRequest Concept to delete the record in another page.
XMLHTTPRequest example[
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After deleting the record, refresh the current page by using script as follows,before this save one temp variable in hidden variable as
document.getElementById('hdnDeletedRecord').value='DELETE';
document.forms[0].submit();
In aspx.cs page
check this variable and if hidden variable contains 'DELETE' then reload the grid.