This does the trick:
' File creation, and datas addition. No problem here WriteFile("c:\TestFile.txt") file = OpenFile("c:\TestFile.txt") WriteLine(file, "test1") WriteLine(file, "test2") CloseFile file file = OpenFile("c:\TestFile.txt") While Not Eof(file) Print ReadLine(file) Wend SeekStream file, StreamSize(file) ' <- line of miracles WriteLine(file, "test3") CloseFile file file = OpenFile("c:\TestFile.txt") While Not Eof(file) Print ReadLine(file) Wend CloseFile file