might be dripping or spilling from the gutter. The watermark looks quite high on the inside.
Outside, the corner looks like it has persistent damp. Stand back and take wide pictures of the entire wall, all the way up to the roof and showing gutters, downpipes, plumbing and boiler vent. Is there a bathroom above?
what is that bit of wood in the inside wall?
Looking at the first picture, the brickwork seems darker around the soil pipe and downpipe, starting near the top and running all the way down to the ground. Soil pipes do not leak from the top so more likely there is a leaking gutter connection or blocked downpipe.A few feet of the cement seems to slope towards the back of the house, there is a drain there though.