And here's a recipe, in English:

Karelian Rice Pasties with Egg and Butter Spread

Makes about 25

Rice mixture:
500 ml water
2 tbsp butter
250 ml short-grain glutinous rice
1 litre milk
1 1/2 tsp salt

Rye dough:
400 ml rye flour
150 ml plain flour
1 tsp salt
200 ml water

To glaze:
50 g butter
100 ml milk

Egg and butter spread:
100 g butter
3 hard-boiled eggs, mashed
50 ml chopped parsley

Put the water and butter into a saucepan. Bring to the boil and stir in
the rice. Simmer for 10 minutes, stirring occasionally. Add the milk and
stir until boiling. Simmer for about 50 minutes, until the rice is done.
Season with salt. Set aside to cool. Mix both flour, salt and water
together. Knead it into a dough. Roll the dough on a floured surface
until about 2 mms thick. Using a cutter, cut into circles of 8 cm (3
in.) in diameter. Roll the circles into thin crusts. A pasta machine can
also be used. Use some flour to help with the rolling. Fill the crusts
with a thin layer of rice mixture. Turn 1 cm (0.4 in.) of the side to
create an edge and pinch the edges. Bake the pasties at 300°C (570F) for
15-20 minutes. Brush with a butter and milk mixture and transfer to
soften under greaseproof paper and a tea towel. Eat hot with egg and
butter spread.

Egg and butter spread:
Mix the soft butter with eggs and parsley. Serve lukewarm.

Recipe copied from:
http://tinyurl.com/yex5bh

or
http://www.finfood.fi/tasteoffinland
Recipes
Breads and baked goods
Karelian Rice pasties...

There are quite a few recipes of Finnish foods in English on that site,
should anyone be interested/curious.

SuzQ wrote:

They're like little oval pies. The crust is made from rye sourdough and
the filling from rice pudding. You eat them with a mixture of chopped
boiled eggs and butter on top. I don't know, maybe it doesn't sound very
delicious to a non-Finn. They're a traditional food from the area of
Karelia, which we lost to the Soviet Union in WWII. Lots of Karelians
were evacuated to other parts of Finland, and they brought their food
culture along. Here's a picture of one, though the crust looks like it's
not made with rye, but wheat:

http://www.answers.com/topic/karjalanpiirakka-jpg