You've reminded me of a great story I heard this summer. The one about meeting school love in the street of another city, after a few years of breakup:)

It was told buy a guy who lived next door to me. We were having beer with him from time to time, and that day he was really happy. He asked: "Do you believe our wishes come true?". "I do". "Well, I want to tell you something...", he said.

The story began some five or six years ago, when he was finishing school and was in love with a girl of the same age. That year, for some reason, she had to move to another city. They went on writing to each other for some time, but soon something wrong happened, and they broke up and she even changed her phone number. Anyhow, the next year he graduated from the school and moved to Moscow, but he couldn't help thinking about her.

"You know, five years passed by, but I've been still picturing the day we meet again. The look on her face, and the words I would say, and everything..."

"Well, what's then?..", I asked.

"You won't believe it! So, naturally, I was just coming back home on the metro when I saw a girl. I felt that there is something special about her and that I just must talk to her. And so I did. And she smiled and wasn't objecting me walking her home...".

"So, it was she!", I exclaimed.

"Listen!"

They have already went out of the metro, when he asked her name. "Veronica", she said. And then it finally came to him, and to her—just a moment later! Their appearance changed a lot during these years, and her hair was dyed, so it took some minutes to recognize each other.

Both felt it's a miracle, and this feeling grew stronger when they finally understood they were living in the same street for half a year.

So, he walked with her to the doorway of her house. Then she reached out for his hand and said: "I won't ever let you go!". She took him by hand to the flat she rented, and here this story ends.

Hello, Marco! Your Russian is really pleasant to read and easy to understand:)

Here are few corrections:

Сегодня вечером

Я хочу принимать холодный душ каждый день. Специально после пробега.

If you mean "especially after running", you have to say "особенно после пробежки", not "специально после пробега":)

После завтрака пошёл на велосипеде в библиотеку университета.

Учился там все утро и все весь день.

У меня есть  много экзамены экзаменов.

Эти экзамены - очень трудные, и тогда поэтому я должен учиться постоянно.

В следующем месяце у меня есть экзамен по международной политике, по международной экономике и по некромантим.

Are you sure you've got exam in NECROMANCY?! Because некромантия means necromancy!

Это просто кошмар, терперь терпеть :) не могу! К тому же, книги некромантии - очень старые, и поэтому их трудно читать, а мои глаза постоянно болят.

Вечером говорил на русском с одной милой девушкой, которая живёт в маленький маленькой деревне недалеко от Москвы.

Я рад, потому что сумел говорить вроде хорошо. Могу писать на русском, немного говорю, но обычно ничего не понимаю когда слушаю его.

Слова, которые я изучал. Практика.

You need to add которые, it's the same as the word 'that' in English. Not just "the words I've learned", but always "the words that I've learned".

That's not quite right:) Выходить means to go out, while приходить means to come.

So, "Please, come to my house and drink tea with me" will be "Пожалуйста, приходите ко мне домой и пейте чай со мной".

Почка. Ты уже мыл почку?

Are you sure that's the right sentence?:) It literally means "A kidney. Have you already washed a kidney?". It sounds weird!

Души. Все человек ест душ.

That sounds strange, too! Literally it is something like "All men eat shower"...

Души means souls. Душа is a soul. BUT душ means a shower:) 

If you wanted to say that every man has a soul, it could be like this: "у каждого человека есть душа".

Кстати. Кстати, ты уже говорил юрист с юристом? (You have forgotten a preposition here, to lawyer = с юристом).

Продавать. Они продоют яиц продают яйца человеку каждый каждую субботу.

Голодный. Когда я встаю, я очень голодный. (That's right! You need only to add a comma.)

Городской. Он городской или из деревны деревнИ.

Моя младшая сестра крепкую девучку девочка и моя старшая сестра очень слабая человека  женщина or девушка. Крепкий и Слабый,

Поступал. Раньше я поступал институте в институт Пушкина в Москве.

Доверять. Ты доверяешь меня мне или нет?