ListFieldIterator shows ["ColumnName" column value] for item from another list

Question

On EditForm.aspx there is a standard ListFormWebPart in Edit mode. When I add my WebPart with ListFieldIterator in Display mode(or only ListFieldIterator w/o webPart) and bind this ListFieldIterator with item from another list, it shows ["ColumnnName" column value] for each field instead of real values. ItemID, ListID and ItemContext are set up.

How can I fix that?

Thanks in advance.