As LibreSSL is gaining popularity you might want to switch your compiled Lighttpd version with one that uses LibreSSL for your https.

Tested on Debian Squeeze, but should work on Wheezy/Ubuntu in a similar way.

Prerequisites

$ sudo apt-get install make gcc libev-dev libpcre3-dev zlib1g-dev libbz2-dev gamin libgamin-dev liblua5.1-0-dev
$ wget \
http://download.lighttpd.net/lighttpd/releases-1.4.x/lighttpd-1.4.35.tar.gz \
http://ftp.openbsd.org/pub/OpenBSD/LibreSSL/libressl-2.0.5.tar.gz
$ tar xvfz libressl-2.0.5.tar.gz && tar xvfz lighttpd-1.4.35.tar.gz

Compile & Install LibreSSL

$ cd libressl-2.0.5
$ ./configure --prefix=/opt/libressl
$ make 
$ sudo make install

Verify the LibreSSL Installation

$ /opt/libressl/bin/openssl version
LibreSSL 2.0

Compile Lighttpd with LibreSSL

$ cd ../lighttpd-1.4.35
$ wget https://gist.github.com/lifeofguenter/7ef3fe9e089fcb24baed/raw/316108a350f69d622c17d0801cc429388cf36cef/lighttpd-libressl.patch
$ patch -p1 < lighttpd-libressl.patch 
$ ./configure \
--prefix=/usr \
--sysconfdir=/etc \
--localstatedir=/var \
--with-libev \
--with-pcre \
--with-zlib \
--with-bzip2 \
--with-fam \
--with-lua \
--with-openssl=/opt/libressl
$ make
$ sudo make install

Verify the Lighttpd Installation

$ lighttpd -v
lighttpd/1.4.35 (ssl) - a light and fast webserver
Build-Date: Aug 11 2014 12:54:04

Please have a look at the following URLs for further Documentation on configuring Lighttpd + SSL:

• Strong SSL Security on Lighttpd
• Lighttpd official Documentation
• Non-self-signed Installation