Burning the Bootloader without  AVR-Writer

I want to know if it's possible to burn bootloader in a diecimila with an atmega8 using the parallel programmer. I've already tried but it says that the avr does not respond, that was expected the signature of the atmega8.

It is possible, but this thread discusses the FTDI BitBang hack. You can use the modified Arduino board to burn the bootloader to your ATMega8 chip.

Parallel Programmers often have timing problems, I don't use them anymore.