The Finnish news sources I follow paint this as a pilot initiative trialed primarily in Helsinki, and even then limited to a few courses. A country-wide scrapping of subjects seems still a long way off. The following passage from The Independent article seems the closest to the truth:
"Finnish schools are obliged to introduce a period of “phenomenon-based teaching” at least once a year. These projects can last several weeks. In Helsinki, they are pushing the reforms at a faster pace with schools encouraged to set aside two periods during the year for adopting the new approach. Ms Kyllonen’s blueprint, to be published later this month, envisages the reforms will be in place across all Finnish schools by 2020."
Did some more research and it seems that the subjects are not gone but there will be more project based learning that combines multiple subjects. The changes are already implemented.
Which source is this? There was a big change starting from this semester. It might not be as dramatic as the article says but it's still considered to be a huge change.
"Finnish schools are obliged to introduce a period of “phenomenon-based teaching” at least once a year. These projects can last several weeks. In Helsinki, they are pushing the reforms at a faster pace with schools encouraged to set aside two periods during the year for adopting the new approach. Ms Kyllonen’s blueprint, to be published later this month, envisages the reforms will be in place across all Finnish schools by 2020."