I got it to work in an apartment once. I kept a south facing window in my pantry open (the land lord had the heat too high) and grew them there. They were a bit leggy and probably would have liked more sun. I let them die back and kept them mostly dry until the next fall but they only produced leaves. If I had a cold sunny spot I would do it again but would buy fresh bulbseach year. I think the most important thing is they want day time temps probably no higher than 60s and night time 10 degrees or more colder.

In my zone they build up their leaves over the cool and wet of the winter to flower in spring. The big 'florist' Freesias that I planted up in a six inch pot at the end of summer are still flowering, despite several hail storms and mild (about -2C) frosts. However, it is very rare for either the soil in the pots or the ground to freeze solid. So. I suggest that you lift them and replant into a suitable sized pot. If you plant up Crocus in pots for a splash of spring colour - a similar pot or pan would work. Like Crocus (and many others) the Freesia puts down a frosted glass sort of root carrot. When you're digging - you're looking for something quite different from a daffodil with its fat bulb and white string roots. I know it's 'not done' - but - see if you can move them, dirt and all, to the pot to conserve their roots. Plant them up with a very free-draining mix below and around their soil ball. They'll need full sun AND cool temperatures - 40-45F. A cool glasshouse or a frost-free porch would be fine. You probably wouldn't need grow lights but do keep an eye on their colour and whether they're getting spindly. More light if they're yellow-green and lanky. Oh. Yes. A bulb support ring. When they flower the flower head can be heavy-droopy. A ring will keep them from flopping and bending. Keep the soil moist, not soaking. Don't let them stand in a saucer of water. They'll get grey mould or aphids or both. If you decide to keep them in the ground - I'd cover them now and use a row cover/quilt over a frame, which ought to be good down to 24F. Harden off for spring. Be prepared to listen to the weather report and bolt outside with a torch for 'dead-of-night' covering. (I know...:-(( ) Pin down the cover to the frame with clothes pins and hold down the edges, too. There's always a sneaky wind... Good luck. PS If you have a rapid spring - 50F to 70+ in a bound expect your flowers to finish quite quickly. Some shade could extend your season. Leave them to die back naturally after you've trimmed back the flower stems. After this - you can treat them as you would for Gladiolus in your zone.

you should be able to find better sources than wikipedia ... for example.. see link on suggested name ken https://www.google.com/search?q=Babiana+purple&biw=958&bih=745&source=lnms&tbm=isch&sa=X&ved=0ahUKEwial8jD557PAhXI1h4KHVnoBjwQ_AUIBigB&dpr=0.9

I can't grow Freesias outside in my climate but I have seen them growing happily out of stone walls in Italy. My reservation about this idea would be that they need entirely different conditions from most vegetables. As socalgal said, they don't want much water and I suspect they don't want rich soil. In your picture is it possible that the Freesias are actually planted in the gravel edge rather than in the beds themselves? Maybe you could grow them in pots and place them around the garden? Perhaps you could contact the guy who does the blog where you found the picture and ask how he does it?