PCF8574AN configured as output for relay

Have you got pull up resistors?

yes, offcourse.

Are you using the analogue pins 4 & 5 not the digital ones?

Im use on the arduino uno the pins located near the reset button, marked with SDA/SCL. so not use pin 3 and 4.

Have you got the anode of the LED connected to 5V, cathode to a resistor and resistor to the PCF output pin?

yes, i hope the attachment is here u can see the diagram i quickly made.

i have also tried some other LED's with same voltage and less mA. but same result.

PCF.jpg