Heya Swager;
In "old town" of Tallinn there's couple internet-cafés where you can surf in the web.
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Cyber Cafés
@5: (J-4) Gonsori 2, on the fifth floor of the Tallinna Kaubamaja department store. Open:09-21; Sat., Sun. 09-20.
Central Post Office: (I-4) Narva mnt. 1, on the 2nd floor of the main post office.
Escape: (C-3) Tatari 4, tel. 665-1173. Open 24h.
http://www.escape.ee Internetti?OK: (C-3) Sakala 17/Tatari 13, tel. 651-2682. Open:10-22.
National Library’s Internet Hall: (C-2) Tőnismägi 2, on the 7th floor. Open:8.30-19.30; Sat. 09-17.30; Sun. closed.
Pitstop: (I-2) Mündi 2a, in the old city, tel. 641-8154. Open: 10-23; Sun. 11-23. A tiny but creative bar/café with two internet terminals. Also, see under BARS.
Press Café: (I-3) Viru 23 2nd floor, in the old city, in Apollo bookstore. Open:10-20; Sat. 10-18, Sun. 11-16.
Stockmann: (C-4) Liivalaia 53; on the second floor of this Finnish-owned department store. Open:09-21; Sat., Sun. 09-20.
You can connect to wireless Internet while sitting at some restaurants and bars—or on some city-center park benches. For info about where this can be done, go to
http://www.wifi.eehttp://www.balticsww.com/tourist/estonia/cafes.htm