Just for your information, Debian 7.1.0 during installation says that computer needs rtl_mic/rtl8168e3.fw, which is in their non-free repository.
http://packages.debian.org/wheezy/firmware-realtek
At any case, wired connection works perfectly with Trisquel. This is the ethernet entry from lspci
Ethernet controller: Realtek Semiconductor Co., Ltd. RTL8111/8168 PCI Express Gigabit Ethernet controller (rev 07)
Tarjetas 3G | 33 |
Acquisition cards | 34 |
Bluetooth | 56 |
Tarjetas de ethernet | 169 |
Lectores de huellas digitales | 11 |
Controlador de Host | 170 |
Modems | 18 |
Computador portátil | 785 |
Printers | 125 |
Adaptador RAID | 20 |
Escáners | 24 |
Lectores de tarjetas SD | 56 |
Tarjetas de audio | 140 |
Tarjetas de video | 341 |
Cámaras web | 132 |
Tarjetas de red inalámbrica | 228 |
TOTAL | 2342 |