Hi @beanflying and thank you for your answer
If for example the inbuilt LiPo protection is 3V then it will go open circuit ( so 0V) before your 2.8V even triggers your IC to start charging.
The battery inbuilt protection circuit is equipped with the DW01 IC that has Overdischarge detection voltage = 2.4V
Having a quick read of the datasheet it has a zero or low voltage lockout to prevent charging commencing on batteries below a certain voltage.
Yes, according to the datasheet when the battery voltage is below the Voinh = 0.7V the charging process is inhibited

Ok, so I believe that is the reason that my circuit won't charge a 0V depleted battery.
However, I still cannot figure out why my 80mAh LiPo batteries were drained down to 0V.. That's not make sense.. The bq29707 battery protector cuts off at 2.8V and after the cut off event the current consumption is reduced down to Istandby = 0.5uA
