Hi,

@Sayzer:

The use of a parallel connection was your suggestion.
Why use a parallel connection when the current of the relay coil is 77mA?

My advice is:

There is no need for a parallel connection.
Do not use a parallel connections with this IC.

* * * * * * * * *

@Christopher4187:

N-package
7 x 120 mA = 840 mA if the TA is <= 70°C.
TA = Ambient temperature, the temperature inside the enclosure where the PCB resides.
Note that you can see TA = 85°C on the figure 15, but for the ULN2003A the
maximum TA is 70°C (See page 4).

* * *

D-package
(Based on the Digikey # in your first post, this is the SMD version you are using).
7 x 60 mA = 420 mA if the TA is <= 70°C.

Best regards,

Luciano