"Advise" vs. "advise that"

I think there are two patterns for "advise":

advise [somebody] that (sentence)

eg

• He advised them that they should object
• He advised that somebody should follow them

and

advise somebody to (non-finite clause)

eg

He advised them to object

Your second example is my first pattern, but I do not find your first pattern to be grammatical.

Both work, though they sound rather clunky. Both require some processing, but the second one is easier to read, IMO. I would write something like:

• and my advice is...
• and I [want to/would] advise them to also come for a session.
• and I would recommend they also come for a session.