  We present new low-frequency ($\nu = 88$-216 MHz) observations of the complex
merging galaxy cluster Abell 3266. These new observations are taken with the
Murchison Widefield Array (MWA) in its Phase II 'extended', long-baseline
configuration, offering the highest-resolution low-frequency view of the
cluster to date. We report on the detection of four steep spectrum ($\alpha
\lesssim -1$ for $S_\nu \propto \nu^\alpha$) extended radio sources within the
cluster. We confirm the detection of a $\sim 570$ kpc radio relic to the south
of the cluster, and a possible bridge of emission connecting the relic to the
cluster core. We also detect two new ultra-steep-spectrum ($\alpha \lesssim
-1.7$) fossil plasma sources to the north and west of the cluster centre
without associated compact radio emission. A previously detected radio galaxy
in the cluster is also found to have a spectrally steepening tail with
steep-spectrum components highlighted by the MWA. We do not detect a giant
radio halo in the cluster. After simulating a range of radio haloes at 216 MHz
we place upper limits on the radio luminosity corresponding to $\sim 7.2 \times
10^{24}$ W Hz$^{-1}$ at 150 MHz assuming the expected 500 kpc radius, up to a
factor 5 lower than expected from scaling relations. Why a giant radio halo is
undetected in Abell 3266 is unclear - the timeline of the merger and overall
mass of the system as determined by optical and X-ray studies suggest the
foundation for a hosting system.
