I very much doubt they are being investigated for giving away company branded mugs and pens. Such gifts do not fall foul of bribery and are part and parcel of sales goodies.
Being a global business, I am sure they will have clear legal policies, working practices and staff training in place and that training will cite all the prime examples listed above. Been there and done it. Aside from the fines, mud and dirt sticks causing long term damage to the company and it's integrity. Key contracts will be dropped and you will be de-selected as a supplier period.
And don't for one minute believe your backside is covered in trading via an intermediary, such as a local country sales agent, who knows the score. In the UK, company fines can be unlimited and people can face upto 10 years at Her Majesty's pleasure.