Many fonts on Typekit support Swedish. You can browse fonts that support Swedish by selecting "Swedish" from the list of supported languages in the sidebar under browse fonts.
In order to serve fonts in Swedish, you must enable the "all characters" set in your kit. All fonts that support Swedish include (at minimum) the following letter characters:
| A | B | C | D | E | F | G | H |
| I | J | K | L | M | N | O | P |
| Q | R | S | T | U | V | W | X |
| Y | Z | a | b | c | d | e | f |
| g | h | i | j | k | l | m | n |
| o | p | q | r | s | t | u | v |
| w | x | y | z | À | Á | Â | Ã |
| Ä | Å | Æ | Ç | È | É | Ê | Ë |
| Ì | Í | Î | Ï | Ð | Ñ | Ò | Ó |
| Ô | Ö | Ø | Ù | Ú | Û | Ü | Ý |
| à | á | â | ã | ä | å | æ | ç |
| è | é | ê | ë | ì | í | î | ï |
| ð | ñ | ò | ó | ô | ö | ø | ù |
| ú | û | ü | ý | Ć | ć | Č | č |
| Ł | ł | Ń | ń | Ř | ř | Ś | ś |
| š |